Fuzzy Reasoning



The derivation of mathematical models that can efficiently describe real-world problems is generally an overwhelming or even impossible task, due to the complexity and inherent ambiguity of characteristics that these problems can possess. As L. A. Zadeh (1973), the founder of the theory of fuzzy sets, puts it


Membership Function Fuzzy Logic Fuzzy Controller Fuzzy Inference System Fuzzy Logic Controller 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. Adamopoulos GI, Pappis CP, Karacapilidis NI (2000) A methodology for solving a range of sequencing problems with uncertain data. In: Slowinski R, Hapke M (eds) Advances in scheduling and sequencing under fuzziness. Physica, Heidelberg, pp 147–164Google Scholar
  2. Afshar A, Fathi H (2009) Fuzzy multi-objective optimization of finance-based scheduling for construction projects with uncertainties in cost. Eng Optim 41:1063–1080Google Scholar
  3. Albrecht RF (2003) Interfaces between fuzzy topological interpretation of fuzzy sets and intervals. Fuzzy Sets Syst 135:11–20Google Scholar
  4. Alexandridis A, Siettos CI, Sarimveis H, Boudouvis AG, Bafas GV (2002) Modeling of nonlinear process dynamics using kohonen’s neural networks. Comput Chem Eng 26:479–486Google Scholar
  5. Alpaydin G, Dündar G, Balkir S (2002) Evolution-based design of neural fuzzy networks using self-adapting genetic parameters. IEEE Trans Fuzzy Syst 10:211–221Google Scholar
  6. Assilian S, Mamdani EH (1974) An experiment in linguistic synthesis with a fuzzy logic controller. Int J Man Mach Stud 1:1–13Google Scholar
  7. Astrom KJ (1983) Theory and applications of adaptive control—a survey. Automatica 19:471–486Google Scholar
  8. Babuska, Verbruggen (1996) Neuro-fuzzy methods for nonlinear system identification. Ann Rev Contr 27:73–85 (2003)Google Scholar
  9. Batur C, Kasparian V (1991) Adaptive expert control. Int J Control 54:867–881Google Scholar
  10. Ben Amor N, Melloyli K, Benfeshat S, Dubios D, Prade H (2002) A theoretical framework for possibilistic independence in a weakly ordered setting. Int J Uncert Fuzz Knowl Based Syst 10:117–155Google Scholar
  11. Bezdek JC (1981) Pattern recognition with objective function algorithms. Plenum, LondonGoogle Scholar
  12. Biacino L, Gerla G (2002) Fuzzy logic, continuity and effectiveness. Arch Math Logic 41:643–667Google Scholar
  13. Blanco A, Pelta DA, Verdegay JL (2002) Applying a fuzzy sets-based heuristic to the protein structure prediction problem. Int J Intell Syst 17:629–643Google Scholar
  14. Braae M, Rutherford DA (1979) Selection of parameters for a fuzzy logic controller. Fuzzy Sets Syst 2:185–199Google Scholar
  15. Chan FTS, Kumar N (2007), Global supplier development considering risk factors using fuzzy extended AHP-based approach. Omega 35:417–431Google Scholar
  16. Chen S, Billings S (1992) Neural networks for nonlinear dynamic system modelling and identification. Int J Control 56:319–346Google Scholar
  17. Chen CL, Chang MH (1998) Optimal design of fuzzy sliding-mode control: a comparative study. Fuzzy Sets Syst 93:37–48Google Scholar
  18. Chen CS, Chen WL (1998) Analysis and design of a stable fuzzy control system. Fuzzy Sets Syst 96:21–35Google Scholar
  19. Chen X, Fukuda T (1998) Robust adaptive quasi-sliding mode controller for discrete-time systems. Syst Control Lett 35:165–173Google Scholar
  20. Chen CT, Lin CT, Huang SF (2006) A fuzzy approach for supplier evaluation and selection in supply chain management. Int J Prod Econ 102:289–301Google Scholar
  21. Cheng JH, Chen SS, Chuang YW (2008) An application of fuzzy delphi and Fuzzy AHP for multi-criteria evaluation model of fourth party logistics. WSEAS Trans Syst 7:466–478Google Scholar
  22. Chou CH (1998) Model reference adaptive fuzzy control: a linguistic approach. Fuzzy Sets Syst 96:1–20Google Scholar
  23. Chou CH, Lu HC (1994) A heuristic self-tuning fuzzy controller. Fuzzy Sets Syst 61:249–264Google Scholar
  24. Chou CH, Teng JC (2002) A fuzzy logic controller for traffic junction signals. Inform Sci 143:73–97Google Scholar
  25. Cordón O, Gomide F, Herrera F, Hoffmann F, Magdalena L (2004) Ten years of genetic fuzzy systems: current framework and new trends. Fuzzy Sets Syst 141:5–31Google Scholar
  26. Cravaris C, Chung C (1987) Nonlinear state feedback synthesis by global input/output linearization. AIChE J 33:592–603Google Scholar
  27. Cross VV, Sudkamp TA (2002) Similarity and compatibility in fuzzy set theory—assessment and applications. Studies in fuzziness and soft computing, vol. 93. Springer, BerlinGoogle Scholar
  28. Daugherity W, Rathakrishnan B, Yen J (1992) Performance evaluation of a self-tuning fuzzy controller. In: Proceedings of the 1st IEEE international conference on fuzzy systems. San Diego, CA, pp 389–397Google Scholar
  29. De Moraes RM, Banon GJF, Sandri SA (2002) Fuzzy expert systems architecture for image classification using mathematical morphology operators. Inform Sci 142:7–21Google Scholar
  30. Del Amo A, Comez D, Montero J, Biging G (2001) Relevance and redundancy in fuzzy classification systems. Mathw Soft Comput VIII:203–216Google Scholar
  31. Di Nola A, Esteva F, Garcia P, Godo L, Sessa S (2002) Subvarieties of BL-algebras generated by singlecomponent chains. Arch Math Logic 41:673–685Google Scholar
  32. Driankov D, Hellendoorn H, Reinfrank M (1993) An introduction to fuzzy control. Springer, BerlinGoogle Scholar
  33. Dubois D, Prade H (1980) Fuzzy sets and systems: theory and apllications. Academic, New YorkGoogle Scholar
  34. Fang CH, Liu YS, Kau SW, Hong L, Lee CH (2006) A new LMI-based approach to relaxed quadratic stabilization of T-S fuzzy control systems. IEEE Trans Fuzzy Syst 14:386–397Google Scholar
  35. Feng G (2006) A survey on analysis and design of model-based fuzzy control systems. IEEE Trans Fuzzy Syst 14:676–697Google Scholar
  36. Feng G, Cao SG, Rees NW, Chak CK (1997) Design of fuzzy control systems with guaranteed stability. Fuzzy Sets Syst 85:1–10Google Scholar
  37. Fuh CC, Tung PC (1997) Robust stability analysis of fuzzy control systems. Fuzzy Sets Syst 88:289–298Google Scholar
  38. Gabrys B, Bargiela A (2002) General fuzzy min-max neural network for clustering and classification. IEEE Trans Neural Netw 11:769–783Google Scholar
  39. Guan XP, Chen CL (2004) Delay-dependent guaranteed cost control for T-S fuzzy systems with time delays. IEEE Trans Fuzzy Syst 12:236–249Google Scholar
  40. Haykin S (1999) Neural networks, 2nd edn. Prentice-Hall, Englewood CliffsGoogle Scholar
  41. Henon M (1982) On the numerical computation of poincaré maps. Phys D 5: 412–414Google Scholar
  42. Henson M, Seborg D (1990) Input–output linearization of general nonlinear processes. AIChE J 36:1753–1895Google Scholar
  43. Hernadez E, Arkun Y (1993) Control of nonlinear systems using polynomial ARMA models. AIChE J 39:446–460Google Scholar
  44. Herrera F (2008) Genetic fuzzy systems: taxonomy, current research trends and prospects. Evol Intell 1:27–46Google Scholar
  45. Homblad P, Ostergaard J-J (1982) Control of a cement kiln by fuzzy logic. In: Gupta MM, Sanchez E (eds) Fuzzy information and decision processes. North-Holland, Amsterdam, pp 398–399Google Scholar
  46. Hong TP, Lin KY, Wang SL (2002) Mining linguistic browsing patterns in the world wide web. Soft Comput 6:329–336Google Scholar
  47. Hung WL (2002) Partial correlation coefficients of intuitionist fuzzy sets. Int J Uncert Fuzz Knowl Based Syst 10:105–112Google Scholar
  48. Intan R, Mukaidono M (2002) On knowledge-based fuzzy sets. Int J Fuzzy Syst 4:655–664Google Scholar
  49. Isermann R (1989) Digital control system II. Springer, BerlinGoogle Scholar
  50. Ishibuchi H, Yamamoto T (2004) Fuzzy rule selection by multi-objective genetic local search algorithms and rule evaluation measures in data mining. Fuzzy Sets Syst 141:59–88Google Scholar
  51. Isidori A (1995) Nonlinear control systems, 3rd edn. Springer, BerlinGoogle Scholar
  52. Jensen R, Shen Q (2004) Semantics-preserving dimensionality reduction: rough and fuzzy-rough-based approaches. IEEE Trans Knowl Data Eng 16:1457–1471Google Scholar
  53. Jensen R, Shen Q (2007) Fuzzy-rough sets assisted attribute selection. IEEE Trans Fuzzy Syst 15:73–89Google Scholar
  54. Jung CH, Ham CS, Lee KI (1995) A real-time self-tuning controller through scaling factor adjustment for the steam generator of NPP. Fuzzy Sets Syst 74:53–60Google Scholar
  55. Kahraman C, Ruan D, Tolga E (2002) Capital budgeting techniques using discounted fuzzy versus probabilistic cash flows. Inform Sci 142:57–56Google Scholar
  56. Kandel A, Luo Y, Zhang YQ (1999) Stability analysis of fuzzy control systems. Fuzzy Sets Syst 105:33–48Google Scholar
  57. Karacapilidis NI, Pappis CP, Adamopoulos GI (2000) Fuzzy set approaches to lot sizing. In: Slowinski R, Hapke M (eds) Advances in scheduling and sequencing under fuzziness. Physica, Heidelberg, pp 291–304Google Scholar
  58. Karr CL, Gentry EJ (1993) Fuzzy control of pH using genetic algorithms. IEEE Trans Fuzzy Syst 1:46–53Google Scholar
  59. Kickert WM, Mamdani EH (1978) Analysis of a fuzzy logic controller. Fuzzy Sets Syst 1:29–44Google Scholar
  60. Kiendl H, Ruger JJ (1995) Stability analysis of fuzzy control systems using facet functions. Fuzzy Sets Syst 70:275–285Google Scholar
  61. Kilic K, Sproule BA, Türksen IB, Naranjo CA (2002) Fuzzy system modeling in pharmacology: an improved algorithm. Fuzzy Sets Syst 130:253–264Google Scholar
  62. Kim WC, Ahn SC, Kwon WH (1995) Stability analysis and stabilization of fuzzy state space models. Fuzzy Sets Syst 71:131–142Google Scholar
  63. King PJ, Mamdani EH (1977) Analysis of fuzzy control systems to industrial processes. Automatica 13:235–242Google Scholar
  64. Kiriakidis K, Grivas A, Tzes A (1998) Quadratic stability analysis of the Takagi–Sugeno fuzzy model. Fuzzy Sets Syst 98:1–14Google Scholar
  65. Kiszka JB, Gupta MM, Nikiforuk PN (1985) Energetistic stability of fuzzy dynamic systems. IEEE Trans Syst Man Cybern 15:783–791Google Scholar
  66. Kokotovic PV, O’Malley RE, Sannuti P (1976) Singular perturbation and order reduction in control theory—an overview. Automatica 12:123–132Google Scholar
  67. Kosko B (1992) Neural networks and fuzzy systems: a dynamical system approach. Prentice-Hall, Englewood CliffsGoogle Scholar
  68. Kunsch PL, Fortemps P (2002) A Fuzzy decision support system for the economic calculus in radioactive waste management. Inform Sci 142:103–116Google Scholar
  69. Laukoven EG, Pasino KM (1995) Training fuzzy systems to perform estimation and identification. Eng Applic Artif Intell 8:499–514Google Scholar
  70. Lee CC (1990) Fuzzy logic in control systems: fuzzy logic controllers-parts I, II. IEEE Trans Syst Man Cybern 20:404–435Google Scholar
  71. Lee AHI (2009) A fuzzy supplier selection model with the consideration of benefits, opportunities, costs and risks. Expert Syst Appl 36:2879–2893Google Scholar
  72. Leung FHF, Lam HK, Tam PKS (1998) Design of fuzzy controllers for uncertain nonlinear systems using stability and robustness analyses. Syst Control Lett 35:237–243Google Scholar
  73. Li DF (2005) Multiattribute decision making models and methods using intuitionistic fuzzy sets. J Comput Syst Sci 70:73–85Google Scholar
  74. Lin CK, Wang SD (1998) A self-organizing fuzzy control approach for bank-to-turn missiles. Fuzzy Sets Syst 96:281–306Google Scholar
  75. Liu ZQ, Liu YK (2010) Type-2 fuzzy variables and their arithmetic. Soft Comput 14:729–747Google Scholar
  76. Liu M, Wan C, Wang L (2002) Content-based audio classification and retrieval using a fuzzy logic system: towards multimedia search engines. Soft Comput 6: 357–364Google Scholar
  77. Ljung L (1987) System identification: theory for the user. Prentice-Hall, Englewood CliffsGoogle Scholar
  78. Maeda M, Murakami S (1992) A self-tuning fuzzy controller. Fuzzy Sets Syst 51:29–40Google Scholar
  79. Marin-Blazquez JG, Qiang Shen (2002) From approximative to descriptive fuzzy classifiers. IEEE Trans Fuzzy Syst 10:484–497Google Scholar
  80. Mastrokostas PA, Theocharis JB (2002) A recurrent fuzzy- neural model for dynamic system identification. IEEE Trans Syst Man Cybern B 32:176–190Google Scholar
  81. Mendel JM, John RIB (2002) Type-2 fuzzy sets made simple. IEEE Trans Fuzzy Syst 10:117–127Google Scholar
  82. Mendel JM, John RIB, Liu F (2006) Interval type-2 fuzzy logic systems made simple. IEEE Trans Fuzzy Syst 14:808–821Google Scholar
  83. Michels K (1997) Numerical stability analysis for a fuzzy or neural network controller. Fuzzy Sets Syst 89:335–350Google Scholar
  84. Mizumoto M (1995) Realization of PID controls by fuzzy control methods. Fuzzy Sets Syst 70:171–182Google Scholar
  85. Muthusamy K, Sung SC, Vlach M, Ishii, H. (2003) Scheduling with fuzzy delays and fuzzy precedences. Fuzzy Sets Syst 134:387–395Google Scholar
  86. Naessens H, De Meyer H, De Baets B (2002) Algorithms for the computation of T-transitive closures. IEEE Trans Fuzzy Syst 10:541–551Google Scholar
  87. Narendra KS, Parthasarathy K (1990) Identification and control of dynamical sytems using neural networks. IEEE Trans Neural Netw 1:4–27Google Scholar
  88. Nikravesh M, Loia V, Azvine B (2002) Fuzzy logic and the internet (FLINT): internet, world wide web and search engines. Soft Comput 6:287–299Google Scholar
  89. Nobuhara H, Bede B et al (2006) On various eigen fuzzy sets and their application to image reconstruction. Inform Sci 176:2988–3010Google Scholar
  90. Novak V (2002) Joint consistency of fuzzy theories. Math Log Q 48:563–573Google Scholar
  91. Oh SK, Kim DW, Pedrycz W (2002) Hybrid fuzzy polynomial neural networks. Int J Uncert Fuzz Knowl Based Syst 10:257–280Google Scholar
  92. Østergaard JJ (1990) Fuzzy II: the new generation of high level kiln control. Zement Kalk Gips 43(11): 539–541Google Scholar
  93. Østergaard JJ (1977) Fuzzy logic control of a heat exchange process. In: Gupta MM, Gains BR, Saridis GN (eds) Fuzzy automata and decision processes. Elsevier, New YorkGoogle Scholar
  94. Palm R (1992) Sliding mode fuzzy control. In: Proceedings of the 1st IEEE international conference on fuzzy systems. San Diego, CA, pp 519–526Google Scholar
  95. Palm R (1993) Tuning of scaling factors in fuzzy controllers using correlation functions. In: Proceedings of the 2nd IEEE international conference on fuzzy systems. San Diego, CA, pp 691–696Google Scholar
  96. Pappis CP (1976) On a fuzzy set theoretic approach to aspects of decision making in ill-defined systems. PhD thesis, University of LondonGoogle Scholar
  97. Pappis CP (1991) Value approximation of fuzzy systems variables. Fuzzy Sets Syst 39:111–115Google Scholar
  98. Pappis CP, Karacapilidis NI (1993) A comparative assessment of measures of similarity of fuzzy values. Fuzzy Sets Syst 56:171–174Google Scholar
  99. Pappis CP, Karacapilidis NI (1995) Application of a similarity measure of fuzzy sets to fuzzy relational equations. Fuzzy Sets Syst 75:35–142Google Scholar
  100. Pappis CP, Mamdani EH (1977) A fuzzy logic controller for a traffic junction. IEEE Syst Man Cybern SMC-7 10:707–717Google Scholar
  101. Pappis CP, Sugeno M (1985) Fuzzy relational equations and the inverse problem. Fuzzy Sets Syst 15:79–90Google Scholar
  102. Pappis CP, Siettos I, Dasaklis TK (2012) Fuzzy sets, systems, and applications. In: Gass S, Fu M (eds) Encyclopedia of operations research and management science (E/ORMS) (3/e). Springer, BerlinGoogle Scholar
  103. Park M, Ji S, Kim E, Park M (1999) A new approach to the identification of a fuzzy model. Fuzzy Sets Syst 104:169–181Google Scholar
  104. Pedrycz W, Gacek A (2002) Temporal granulation and its application to signal analysis. Inform Sci 143:47–71Google Scholar
  105. Pedrycz W, Vasilakos AV (2002) Modularization of fuzzy relational equations. Soft Comput 6:33–37Google Scholar
  106. Polat K, Şahan S et al. (2006) A new method to medical diagnosis: artificial immune recognition system (AIRS) with fuzzy weighted pre-processing and application to ECG arrhythmia. Expert Syst Appl 31:264–269Google Scholar
  107. Pomares H, Rojas I, Gonzalez J, Prieto A (2002) Structure identification in complete rule-based fuzzy systems. IEEE Trans Fuzzy Syst 10:349–359Google Scholar
  108. Pradera A, Trillas E, Calvo T (2002) A general class of triangular norm-based aggregation operators: quasilinear T-S operators. Int J Approx Reason 30:57–72Google Scholar
  109. Procyk TJ, Mamdani EH (1979) A linguistic self-organizing process controller. Automatica 15:15–30Google Scholar
  110. Read NK, Ray WH (1998a) Application of nonlinear dynamic analysis in the identification and control of nonlinear systems I. Simple dynamics. J Process Control 8:1–15Google Scholar
  111. Read NK, Ray WH (1998b) Application of nonlinear dynamic analysis in the identification and control of nonlinear systems II more complex dynamics. J Process Control 8:17–34Google Scholar
  112. Read NK, Ray WH (1998c) Application of nonlinear dynamic analysis in the identification and control of nonlinear systems III n-dimensional systems. J Process Control 8:35–46Google Scholar
  113. Ross TJ (1995) Fuzzy logic with engineering applications. McGraw-Hill, New YorkGoogle Scholar
  114. Ruan D, Zhou C, Gupta MM (2003) Fuzzy set techniques for intelligent robotic systems. Fuzzy Sets Syst 134:1–4Google Scholar
  115. Sagias DI, Sarafis EN, Siettos CI, Bafas GV (2001) Design of a model identification fuzzy adaptive controller and stability analysis of nonlinear processes. Fuzzy Sets Syst 121:169–179Google Scholar
  116. Sala A, Ariño C (2007) Asymptotically necessary and sufficient conditions for stability and performance in fuzzy control: applications of Polya’s theorem. Fuzzy Sets Syst 158:2671–2686Google Scholar
  117. Sanchez E (1976) Resolution of composite fuzzy relational equations. Inform Control 30:38–48Google Scholar
  118. Shaw AM, Doyle III FJ, Schwaber JS (1997) A dynamic neural network approach to nonlinear process modeling. Comput Chem Eng 21:371–385Google Scholar
  119. Siettos CI, Bafas GV (2001) Semiglobal stabilization of nonlinear systems using fuzzy control and singular perturbation methods. Fuzzy Sets Syst 129:275–294Google Scholar
  120. Siettos CI, Boudouvis AG, Bafas GV (1999a) Implementation and performance of a fuzzy adaptive controller for a tubular reactor with limit points. Syst Anal Model Simul 38:725–739Google Scholar
  121. Siettos CI, Kiranoudis CT, Bafas GV (1999b) Advanced control strategies for fluidized bed dryers. Dry Technol 17:2271–2292Google Scholar
  122. Siettos CI, Boudouvis AG, Bafas GV (2001) Approximation of fuzzy control systems using truncated Chebyshev series. Fuzzy Sets Syst 126:89–104Google Scholar
  123. Song S, Hwang K, Zhou R, Kwok Y-K (2005) Trusted P2P transactions with fuzzy reputation aggregation. IEEE Internet Comput 9:24–34Google Scholar
  124. Spiegel D, Sudkamp T (2002) Employing locality in the evolutionary generation of fuzzy rule bases. IEEE Trans Syst Man Cybern B 32:296–305Google Scholar
  125. Stephanopoulos G (1984) Chemical process control: an introduction to theory and practice. Prentice-Hall, Englewood CliffsGoogle Scholar
  126. Sugeno M, Kang GT (1988) Structure identification of fuzzy model. Fuzzy Sets Syst 28:15–23Google Scholar
  127. Sugeno M, Yasukawa T (1993) A fuzzy-logic-based approach to qualitative modelling. IEEE Trans Fuzzy Syst 1:7–31Google Scholar
  128. Takagi T, Sugeno M (1985) Fuzzy identification of systems and its application to modelling and control. IEEE Trans Syst Man Cybern 15:116–132Google Scholar
  129. Tamhane D, Wong PM, Aminzadeh F (2002) Integrating linguistic descriptions and digital signals in petroleum reservoirs. Int J Fuzzy Syst 4:586–591Google Scholar
  130. Tanaka K, Sugeno M (1992) Stability analysis and design of fuzzy control systems. Fuzzy Sets Syst 45:135–156Google Scholar
  131. Tanaka K, Ohtake H, Wang HO (2007) A descriptor system approach to fuzzy control system design via fuzzy Lyapunov functions. IEEE Trans Fuzzy Syst 15: 333–341Google Scholar
  132. Tang Y, Zhang N, Li Y (1999) Stable fuzzy adaptive control for a class of nonlinear systems. Fuzzy Sets Syst 104:279–288Google Scholar
  133. Taprantzis AV, Siettos CI, Bafas GV (1997) Fuzzy control of a fluidized bed dryer. Dry Technol 15:511–537Google Scholar
  134. Thathachar MA, Viswanath P (1997) On the stability of fuzzy systems. IEEE Trans Fuzzy Syst 5:145–151Google Scholar
  135. Tian E, Peng C (2006) Delay-dependent stability analysis and synthesis of uncertain T-S fuzzy systems with time-varying delay. Fuzzy Sets Syst 157:544–559Google Scholar
  136. Togai M, Watanabe H (1986) Expert systems on a chip: an engine for real-time approximate reasoning. IEEE Expert Mag 1:55–62Google Scholar
  137. Tong S, Wang T, Li HX (2002) Fuzzy robust tracking control for uncertain nonlinear systems. Int J Approx Reason 30:73–90Google Scholar
  138. Wang LX (1992) Fuzzy systems are universal approximators. In: Proceedings of 1st IEEE international conference on fuzzy systems. San Diego, CA, pp 1163–1170Google Scholar
  139. Wang LX (1994) Adaptive fuzzy systems and control: design and stability analysis. Prentice-Hall, Englewood CliffsGoogle Scholar
  140. Wang W (1997) New similarity measures on fuzzy sets and on elements. Fuzzy Sets Syst 85:305–309Google Scholar
  141. Wang HF (2000) Fuzzy multicriteria decision making—an overview. J Intell Fuzzy Syst 9:61–84Google Scholar
  142. Wang JS, Lee CSG (2002) Self-adaptive neuro-fuzzy inference systems for classification applications. IEEE Trans Fuzzy Syst 10:790–802Google Scholar
  143. Wang J, Lin YI (2003) A fuzzy multicriteria group decision making approach to select configuration items for software development. Fuzzy Sets Syst 134: 343–363Google Scholar
  144. Wang W, De Baets B, Kerre E (1995) A comparative study of similarity measures. Fuzzy Sets Syst 73:259–268Google Scholar
  145. Wang HO, Tanaka K, Griffin MF (1996) An approach to fuzzy control of nonlinear systems: stability and design issues. IEEE Trans Fuzzy Syst 4:14–23Google Scholar
  146. Wang SM, Wang BS, Wang GJ (2003) A triangular-norm-based propositional fuzzy logic. Fuzzy Sets Syst 136:55–70Google Scholar
  147. Wolf A, Swift JB, Swinney HL, Vastano JA (1985) Determining Lyapunov exponents from a time series. Phys D 16:285–317Google Scholar
  148. Wu WZ, Zhang WX (2004) Constructive and axiomatic approaches of fuzzy approximation operators. Inform Sci 159:233–254Google Scholar
  149. Yager RR (2002a) On the cardinality index and attitudinal character of fuzzy measures. Int J Gen Syst 31:303–329Google Scholar
  150. Yager RR (2002b) The power average operator. IEEE Trans Syst Man Cybern A Syst Hum 31:724–730Google Scholar
  151. Yager RR (2002c) On the valuation of alternatives for decision-making under uncertainty. Int J Intell Syst 17:687–707Google Scholar
  152. Yan J, Ryan M, Power J (1994) Using fuzzy logic. Prentice-Hall, Englewood CliffsGoogle Scholar
  153. Yeung DS, Chen DG, Tsang ECC, Lee JWT, Wang XZ (2005) On the generalization of fuzzy rough sets. IEEE Trans Fuzzy Syst 13:343–361Google Scholar
  154. Yi SY, Chung MJ (1995) Systematic design and stability analysis of a fuzzy logic controller. Fuzzy Sets Syst 72:271–298Google Scholar
  155. Yi Z, Heng PA (2002) Stability of fuzzy control systems with bounded uncertain delays. IEEE Trans Fuzzy Syst 10:92–97Google Scholar
  156. Ying M (2002) Implication operators in fuzzy logic. IEEE Trans Fuzzy Syst 10: 88–91Google Scholar
  157. Yu X, Man Z, Wu B (1998) Design of fuzzy sliding-mode control systems. Fuzzy Sets Syst 95:295–306Google Scholar
  158. Zadeh LA (1965) Fuzzy sets. Inform Control 8:338–353Google Scholar
  159. Zadeh LA (1973) Outline of a new approach to the analysis complex systems and decision processes. IEEE Trans Syst Man Cybern 3:28–44Google Scholar
  160. Zadeh LA (2008) Is there a need for fuzzy logic? Inform Sci 178:2751–2779Google Scholar
  161. Zheng L (1992) A practical guide to tune of proportional and integral (PI) like fuzzy controllers. In: Proceedings of 1st IEEE international conference on fuzzy systems. San Diego, CA, pp 633–640Google Scholar
  162. Zienkiewicz OC, Morgan K (1983) Finite elements and approximation. Wiley, New YorkGoogle Scholar
  163. Zimmermann HJ (1996) Fuzzy set theory and its applications, 3rd edn. Kluwer, DordrechtGoogle Scholar
  164. Zimmermann HJ, Ruan D, Huang C (eds) (2000) Fuzzy sets and operations research for decision support: key selected papers. Normal University Press, BeijingGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.University of PiraeusPiraeusGreece
  2. 2.National Technical UniversityAthensGreece

Personalised recommendations