Results 101 to 110 of about 8,805 (137)
IEEE Transactions on Fuzzy Systems, 2020 Yager's q -rung orthopair fuzzy set is a generalization of fuzzy sets, whose prominent feature is that the q th power sum of the membership and the nonmembership degrees is equal to or less than one, and we call its core, an ordered pair, q -rung orthopair fuzzy number ( q -ROFN).
Zhenghai Ai +3 more
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Mathematica Slovaca, 2023 ABSTRACT The issue of distributivity of aggregation operators is crucial for many different areas such as fuzzy sets and fuzzy logic, pseudo-analysis and measure theory, and particulary in the decision making theory. The problem of distributivity of an operator form a special class of uni-nullnorms over a general uninorm is being ...
Dragan Jočić, Ivana Štajner-Papuga
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Fuzzy implications derived from additive generators of continuous Archimedean t-norms
International Journal of Intelligent Systems, 2012 One class of fuzzy implications is introduced by means of the additive generators of continuous Archimedean t-norms. Basic properties of these implications are discussed. These implications are shown to be different from the known (S,N)-, R-, QL-, and Yager's f- and g-implications. Several functional equations with fuzzy implications are investigated. ©
Huawen Liu, Zhenbo Li
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Reconstruction of Additive Generators from Partial Derivatives of Continuous Archimedean t-Norms
2010 40th IEEE International Symposium on Multiple-Valued Logic, 2010 The paper shows a direct correspondence between the first partial derivatives of a continuous Archimedean triangular norm and the first derivatives of its additive generator. An explicit formula for the additive generator is obtained. Application of the result is demonstrated on the problem of convex combinations of strict triangular norms.
Mirko Navara +2 more
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Fuzzy Sets and Systems, 2012 Recently, we have examined the solutions of the following distributivity functional equation I(x,S"1(y,z))=S"2(I(x,y),I(x,z)), when S"1, S"2 are continuous, Archimedean t-conorms and I is an unknown function. In particular, between these solutions, we have shown that implication functions are among its solutions.
Michał Baczyński
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Journal of Intelligent & Fuzzy Systems, 2019 The conditional distributivity, also called restricted distributivity, is crucial for many different areas such as utility theory and integral theory. This is the because it weakens distributivity on the domain. This paper is focused on and fully characterizes the conditional distributivity for a uni-nullnorm with continuous and Archimedean underlying ...
Gang Wang, Feng Qin, Wen-Huang Li
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A note to the addition of fuzzy numbers based on a continuous Archimedean T-norm
Fuzzy Sets and Systems, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Andrea Marková-Stupňanová
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Continuous Archimedean t-norms and their bounds
Fuzzy Sets and Systems, 2001 In this interesting paper the authors study upper and lower bounds in the class of continuous Archimedean t-norms. Using additive generators and the class of subadditive functions, the authors describe (in a constructive way) how to construct these bounds. Extensions and some applications are presented.
Vladimír Marko, Radko Mesiar
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