Abstract
The expressions of 32 fuzzy coimplication operators(FCO) and 32 intuitionistic fuzzy implication operators(IFIO) are given in this paper. The Co-D-P properties which the FCOs should satisfy are presented. The FCOs and IFIOs’situation of satisfying the properties which they should satisfy, respectively, are discussed in details.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
K. T. Atanassov,Intuitionistic fuzzy sets, Fuzzy Sets and Systems20 (1986), 87–96.
L. A. Zadeh,Outline of a new approach to the analysis of complex systems and decision processes, IEEE Trans. Systems Man and Cybernetics3(1) (1973), 28–44.
H. Bustince, E. Barrenechea and V. Mohedano,Intuitionistic fuzzy implication operatorsan expression and main properties, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems12 (2004), 387–406.
K. T. Atanassov and G. Gargov,Elements of intuitionistic fuzzy logic. Part I, Fuzzy Sets and Systems95 (1998), 39–52.
You Fei, Feng Yanbin and Li Hongxing,Fuzzy implication operators and their construction (I): fuzzy implication operators and their properties, Journal of Beijing Normal University (Natural Science)39 (2003), 606–611.
You Fei, Feng Yanbin, Wang Jiayin and Li Hongxing,Fuzzy implication operators and their construction(II): adjoint pairs of FIOS and circle-multiplication operators, Journal of Beijing Normal University (Natural Science)40 (2004), 168–176.
You Fei, Yang Xiyang and Li Hongxing.Fuzzy implication operators and their construction (III): FIOS constructed by triangular norms or co-triangular norms, Journal of Beijing Normal University (Natural Science)40 (2004), 427–432.
C. Cornelis G. Deschrijver and E. E. Kerre,Implication in intuitionistic fuzzy and intervalvalued fuzzy set theory: construction, classification, application, Int. J. Approx. Reasoning35(2004), 55–95.
E. Szmidt and J. Kacprzyk,Intuitionistic fuzzy sets in some medical applications, B. Reusch: Fuzzy Days (2001), 148–151.
E. Szmidt and J. Kacprzyk,A similarity measure for intuitionistic fuzzy sets and its application in supporting medical diagnostic reasoning, L. Rutkowski et al. (Eds.): ICAISC (2004), 388–393.
S. K. De, R. Biswas and A. R. Roy,An application of intuitionistic fuzzy sets in medical diagnosis, Fuzzy Sets and Systems,117 (2001), 209–213.
E. Szmidt and J. Kacprzyk,Intuitionistic fuzzy sets in intelligent data analysis for medical diagnosis, V.N. Alexandrov et al. (Eds.): ICCS (2001), 263–271.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Lin, L., Xia, ZQ. Intuitionistic fuzzy implication operators: Expressions and properties. J. Appl. Math. Comput. 22, 325–338 (2006). https://doi.org/10.1007/BF02832058
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02832058