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Approximations of fuzzy numbers by step type fuzzy numbers

Fuzzy Sets and Systems, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Guixiang, Li, Jing
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Symmetric fuzzy numbers and additive equivalence of fuzzy numbers

Soft Computing, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qiu, Dong, Zhang, Weiquan
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An Advanced Optimization Technique for Smart Production Using α-Cut Based Quadrilateral Fuzzy Number

International Journal of Fuzzy Systems, 2021
Rakesh Kumar   +4 more
semanticscholar   +1 more source

RANKING-INTUITIONISTIC FUZZY NUMBERS

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2004
Intuitionistic fuzzy sets are a generalization of ordinary fuzzy sets which are characterized by a membership function and a non-membership function. In this paper we consider the problem of ranking a set of intuitionistic fuzzy numbers. We adopt a statistical viewpoint and interpret each intuitionistic fuzzy number as an ensemble of ordinary fuzzy ...
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Ranking Fuzzy Numbers Based on the Mean and Fuzzy Degree of Fuzzy Number

Applied Mechanics and Materials, 2012
In this paper, a novel approach to ranking fuzzy numbers based on the mean and the fuzzy degree of fuzzy number is proposed. In the approach, a new ranking index that is comprehensive consideration of the mean and the fuzzy degree of fuzzy number is constructed, and then the properties of the ranking index are given.
Gui Xiang Wang, Guang Tao Zhou
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Transitive fuzzy orderings of fuzzy numbers

Fuzzy Sets and Systems, 1989
In this well-organized paper a generalization of the Baas-Kwakernaak index [\textit{S. M. Baas} and \textit{H. Kwakernaak}, Automatica 13, 47-58 (1977; Zbl 0363.90010)] is presented by replacing the min operation in their definition by a t-norm. Essential properties of the thus defined induced fuzzy ordering are established.
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Fuzzy Number-Based Hierarchical Fuzzy System

2004
Hierarchical fuzzy systems allow for reducing number of rules and for prioritization of rules. To retain fuzziness, intermediate signals should be fuzzy. Transferring fuzzy signal is computationally demanding. Special form of hierarchical fuzzy system is proposed to reduce computational burden.
Adam E. Gaweda, Rafał Scherer
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