TY - GEN UR - http://lib.ugent.be/catalog/pug01:1257283 ID - pug01:1257283 LA - eng TI - Non-conjunctive and non-disjunctive uninorms in Atanassov's intuitionistic fuzzy set theory PY - 2009 SN - 9789899507968 PB - Linz AU - Deschrijver, Glad UGent 001995006575 801001452431 AU - Carvalho, JP editor AU - Kaymak, DU editor AU - Sousa, JMC editor AB - Uninorms are a generalization of t-norms and t-conorms for which the neutral element is an element of [0,1] which is not necessarily equal to 0 (as for t-norms) or 1 (as for t-conorms). Uninorms on the unit interval are either conjunctive or disjunctive, i.e. they aggregate the pair (0,1) to either 0 or 1. In real-life applications, this kind of aggregation may be counter-intuitive. Atanassov's intuitionistic fuzzy set theory is an extension of fuzzy set theory which allows to model uncertainty about the membership degrees. In Atanassov's intuitionistic fuzzy set theory there exist uninorms which are neither conjunctive nor disjunctive. In this paper we study such uninorms more deeply and we investigate the structure of these uninorms. We also give several examples of uninorms which are neither conjunctive nor disjunctive. ER -Download RIS file
00000nam^a2200301^i^4500 | |||
001 | 1257283 | ||
005 | 20180813140810.0 | ||
008 | 110608s2009------------------------eng-- | ||
020 | a 9789899507968 | ||
024 | a 000279170600033 2 wos | ||
024 | a 1854/LU-1257283 2 handle | ||
040 | a UGent | ||
245 | a Non-conjunctive and non-disjunctive uninorms in Atanassov's intuitionistic fuzzy set theory | ||
260 | a Linz, Austria b European Society for Fuzzy Logic and Technology (EUSFLAT) c 2009 | ||
520 | a Uninorms are a generalization of t-norms and t-conorms for which the neutral element is an element of [0,1] which is not necessarily equal to 0 (as for t-norms) or 1 (as for t-conorms). Uninorms on the unit interval are either conjunctive or disjunctive, i.e. they aggregate the pair (0,1) to either 0 or 1. In real-life applications, this kind of aggregation may be counter-intuitive. Atanassov's intuitionistic fuzzy set theory is an extension of fuzzy set theory which allows to model uncertainty about the membership degrees. In Atanassov's intuitionistic fuzzy set theory there exist uninorms which are neither conjunctive nor disjunctive. In this paper we study such uninorms more deeply and we investigate the structure of these uninorms. We also give several examples of uninorms which are neither conjunctive nor disjunctive. | ||
598 | a P1 | ||
700 | a Deschrijver, Glad u UGent 0 001995006575 0 801001452431 0 975407443034 9 F5FEAC1A-F0ED-11E1-A9DE-61C894A0A6B4 | ||
700 | a Carvalho, JP e editor | ||
700 | a Kaymak, DU e editor | ||
700 | a Sousa, JMC e editor | ||
650 | a Mathematics and Statistics | ||
653 | a conjunctive | ||
653 | a disjunctive | ||
653 | a interval-valued fuzzy set | ||
653 | a uninorm | ||
653 | a intuitionistic fuzzy set | ||
773 | t Joint 2009 International Fuzzy Systems Association world congress and European Society for Fuzzy Logic and Technology conference (IFSA/EUSFLAT 2009) g Proceedings of the joint 2009 International Fuzzy Systems Association world congress and 2009 European Society for Fuzzy Logic and Technology conference. 2009. European Society for Fuzzy Logic and Technology (EUSFLAT). p.184-188 q :<184 | ||
856 | 3 Full Text u https://biblio.ugent.be/publication/1257283/file/1257311 z [ugent] y eusflat2009ifsfinal.pdf | ||
920 | a confcontrib | ||
Z30 | x WE 1 WE02 | ||
922 | a UGENT-WE |
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