Advertisement

Application of Triskaidecagonal Fuzzy Number in Home Appliances Using Sequencing Problem

  • A. Rajkumar
  • D. Helen
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 955)

Abstract

The new method of Triskaidecagonal fuzzy number are being proposed in this paper. A generalized Triskiadecagonal fuzzy number is solved in order to obtain the accurate solution for the numerical problem using the technique of Sequencial approach. Thus a generalized Triskiadecagonal fuzzy number is solved concerning the real life situation by comparing the Triangular, Trapezoidal and Dodecagonal fuzzy number using the technique of Sequencial approach. It is concluded by analysis that the application of Triskaidecagonal fuzzy number performs more potency in the human activities.

Keywords

Sequencing Triskaidecagonal fuzzy number Lexical values 

References

  1. 1.
    Rajkumar, A., Helen, D.: New arithmetic operations of triskaidecagonal fuzzy number using alpha cut. In: Pant, M., Ray, K., Sharma, T.K., Rawat, S., Bandyopadhyay, A. (eds.) Soft Computing: Theories and Applications. AISC, vol. 583, pp. 125–135. Springer, Singapore (2018).  https://doi.org/10.1007/978-981-10-5687-1_12CrossRefGoogle Scholar
  2. 2.
    Rajkumar, A., Helen, D.: New arithmetic operations in inverse of triskaidecagonal fuzzy number using alpha cut. In: Pant, M., Ray, K., Sharma, Tarun K., Rawat, S., Bandyopadhyay, A. (eds.) Soft Computing: Theories and Applications. AISC, vol. 583, pp. 115–123. Springer, Singapore (2018).  https://doi.org/10.1007/978-981-10-5687-1_11CrossRefGoogle Scholar
  3. 3.
    Selvam, P., Rajkumar, A., SudhaEaswari, J.: Dodecagonal fuzzy number [DDFN]. Int. J. Control Theory Appl. 9(28), 447–461 (2016)Google Scholar
  4. 4.
    Banerjee, S.: Arithmetic operations on generalized trapezoidal fuzzy number and its applications. An Off. J. Turk. Fuzzy Syst. Assoc. 3(1), 16–44 (2012)Google Scholar
  5. 5.
    Zimmermann, H.J.: Fuzzy Set Theory and its Application, 4th edn. Springer, Heidelberg (2011)Google Scholar
  6. 6.
    Zadeh, L.A.: The concept of a Linguistic variable and its Application to approximate reasoning (Part II). Inf. Sci. 8, 301–357 (1975)CrossRefGoogle Scholar
  7. 7.
    Dubois, D., Prade, H.: Operations on fuzzy numbers. Int. J. Syst. Sci. 9(6), 613–626 (1978)MathSciNetCrossRefGoogle Scholar
  8. 8.
    Govindarajan, R., Kripa, K.: Fuzzy sequencing problem using generalized triangular fuzzy numbers. Int. J. Eng. Res. Appl. 6(6, Part-1), 61–64 (2016)Google Scholar
  9. 9.
    Sahoo, L.: Solving job sequencing problems with fuzzy processing times, vol. 3, no. 4 (2017)Google Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.Department of MathematicsHindustan Institute of Technology and ScienceChennaiIndia

Personalised recommendations