Abstract
We construct linguistic truth-valued intuitionistic fuzzy lattice b based on linguistic truth-valued lattice implication algebra to deal with linguistic truth-valued. The proposed system can better express both comparable and incomparable information. Also it can deal with both positive and negative evidences which are represented by linguistic truth values at the same time during information processing system. This paper discusses the intuitionistic fuzzy implication operator on the linguistic truth-valued intuitionistic fuzzy lattice and its properties.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Herrera, F., Martnez, L.: The 2-Tuple linguistic computational model. Advantages of its linguistic description, accuracy and consistency. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 9, 33048 (2001)
Xu, Z.S.: Intuitionistic fuzzy aggregation operators. IEEE Transactions on Fuzzy Systems 15(11), 1179–1187 (2007)
Huynh, V.N., Ho, T.B., Nakamori, Y.: A Parametric Representation of Linguistic Hedges in Zadeh’s Fuzzy Logic. International Journal of Approximate Reasoning 30, 203–223 (2002)
Ho, N.C.: A topological completion of refined hedge algebras and a model of fuzziness of linguistic terms and hedges. Fuzzy Sets and Systems 158, 436–451 (2007)
Xu, Y., Liu, J., Ruan, D., Lee, T.T.: On the consistency of rule bases based on lattice-valued first-order logic LF(X). International Journal of Intelligent Systems 21, 399–424 (2006)
Atanassov, K.T.: Answer to D. Dubois, S. Gottwald, P. Hajek, J. Kacprzyk and H. Prade’s paper Terminological difficulties in fuzzy set theory the case of ‘Intuitionistic Fuzzy Sets’. Fuzzy Sets and Systems 156, 496–499 (2005)
Zadeh, L.A.: The comcept of linguistic variable and its application to approximate reasoning (I)(II). Information Sciences 8, 199–249, 310–357 (1975)
Zou, L., Ruan, D., Pei, Z., Xu, Y.: A linguistic truth-valued reasoning approach in decision making with incomparable information. Journal of Intelligent and Fuzzy Systems 19(4-5), 335–343 (2008)
Zou, L., Pei, Z., Liu, X., Xu, Y.: Semantic of Linguistic Truth-Valued Intuitionistic Fuzzy Proposition Calculus. International Journal of Innovative Computing, Information and Control 5(12), 4745–4752 (2009)
Zou, L., Liu, X., Wu, Z., Xu, Y.: A Uniform Approach of Linguistic Truth Values in Sensor Evaluation. International Journal of Fuzzy Optimization and Decision Making 7(4), 387–397 (2008)
Zou, L., Ma, J., Xu, Y.: A Framework of Linguistic Truth-valued Propositional Logic Based on Lattice Implication Algebra. In: Proceedings of 2006 IEEE International Conference on Granular Computing, pp. 574–577 (2006)
Wang, D.G., Song, W.Y., Li, H.X.: Unified forms of Fuzzy Similarity Inference Method for Fuzzy Reasoning and Fuzzy Systems. International Journal of Innovative Computing Information and Control 4(10), 2285–2294 (2008)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Guo, C., Zhang, F., Zou, L., Zou, K. (2010). Implication Operator of Linguistic Truth-Valued Intuitionistic Fuzzy Lattice. In: Yu, J., Greco, S., Lingras, P., Wang, G., Skowron, A. (eds) Rough Set and Knowledge Technology. RSKT 2010. Lecture Notes in Computer Science(), vol 6401. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16248-0_33
Download citation
DOI: https://doi.org/10.1007/978-3-642-16248-0_33
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-16247-3
Online ISBN: 978-3-642-16248-0
eBook Packages: Computer ScienceComputer Science (R0)