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Quantum-like representation of neuronal networks' activity: modeling "mental entanglement". [PDF]

Front Hum Neurosci
Khrennikov A, Yamada M.
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Characterizations of uni-nullnorms with continuous Archimedean underlying t-norms and t-conorms

Fuzzy Sets and Systems, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Feng Sun, Xue-ping Wang, Xiao-bing Qu
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Distributivity of a Uni-nullnorm with Continuous and Archimedean Underlying T-norms and T-conorms Over an Arbitrary Uninorm

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 ...
Jočić, Dragan, Štajner-Papuga, Ivana
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Q-Rung Orthopair Fuzzy Integrals in the Frame of Continuous Archimedean T-Norms and T-Conorms and Their Application

IEEE Transactions on Fuzzy Systems, 2021
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, Zeshui Xu, Ronald R. Yager, Jianmei Ye   +3 more
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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.
Marko, V., Mesiar, R.
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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.
Navara, M., Petrík, M. (Milan), Sarkoci, P.   +2 more
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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. ©
Hua-Wen Liu, Zhen-Bo Li
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Conditional distributivity for uni-nullnorms with continuous and Archimedean underlying t-norms and t-conorms

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 ...
Wang, Gang, Qin, Feng, Li, Wen-Huang
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On the distributive equation of implication based on a continuous t-norm and a continuous Archimedean t-conorm

2011 4th International Conference on Biomedical Engineering and Informatics (BMEI), 2011
In order to avoid combinatorial rule explosion in fuzzy reasoning, in this work we explore the distributive equation of implication I(T(x, y), z) = S(I(x, z), I(y, z)). In detail, by means of the sections of I, we give out the sufficient and necessary conditions of solutions for the distributive equation of implication I(T (x, y), z) = S(I(x, z), I(y ...
Feng Qin, Ping-Chong Yang
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