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International Journal of General Systems, 2022
As a fuzzy set (FS) expansion, the hesitant fuzzy set (HFS) is successfully employed to demonstrate circumstances where it is admissible to ascertain a few potential membership degrees (MDs) of a component in a set because of the uncertainty between ...
Tapan Senapati +4 more
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As a fuzzy set (FS) expansion, the hesitant fuzzy set (HFS) is successfully employed to demonstrate circumstances where it is admissible to ascertain a few potential membership degrees (MDs) of a component in a set because of the uncertainty between ...
Tapan Senapati +4 more
semanticscholar +1 more source
Fuzzy Sets and Systems, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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1987
Fuzzy sets are introduced as a generalization of ordinary sets. In this chapter we are going to define an algebraic structure of the class of fuzzy sets which will be useful in the combination of vague data. If an expert is sure, for example, that the ”true” value of the price of a house is in [200,000; 300,000] and another expert has information that ...
Rudolf Kruse, Klaus Dieter Meyer
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Fuzzy sets are introduced as a generalization of ordinary sets. In this chapter we are going to define an algebraic structure of the class of fuzzy sets which will be useful in the combination of vague data. If an expert is sure, for example, that the ”true” value of the price of a house is in [200,000; 300,000] and another expert has information that ...
Rudolf Kruse, Klaus Dieter Meyer
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Groups operating on fuzzy sets
Fuzzy Sets and Systems, 2001A fuzzy set \(X\) is defined in terms of a membership function \(\mu\colon X\mapsto[0,1]\), \(X\) is identified with the support \(\text{supp }\mu\) in this paper. Let a fuzzy set \(G\) be a fuzzy group. If \(\mu_G(e_G)=1\), then \(G\) is called standardized.
Roventa, E., Spircu, T.
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Linear Diophantine fuzzy set and its applications towards multi-attribute decision-making problems
Journal of Intelligent & Fuzzy Systems, 2019The prevailing concepts of intuitionistic fuzzy sets (IFSs), Pythagorean fuzzy sets (PFSs) and q-rung orthopair fuzzy sets (q-ROFSs) have numerous applications in various fields from real life.
M. Riaz, M. Hashmi
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Closure Operators in Fuzzy Set Theory
1999In accordance with Tarski point of view, in this chapter the theory of closure operators is proposed as a unifying tool for fuzzy logics. Indeed, let F be the set of formulas of a given language. Then an abstract fuzzy logic is defined by a fuzzy semantics (i.e. a class of valuations of the formulas in F) and by a closure operator in the lattice of the
L. Biacino, GERLA, Giangiacomo
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2020
In this chapter, we discuss set operations on fuzzy sets by beginning with early fuzzy set operations and continuing with their generalization, interpretations, formal requirements and realizations. We emphasize that complement and negations, triangular norms and triangular co-norms are unifying, general realizations of the set-theoretic operations ...
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In this chapter, we discuss set operations on fuzzy sets by beginning with early fuzzy set operations and continuing with their generalization, interpretations, formal requirements and realizations. We emphasize that complement and negations, triangular norms and triangular co-norms are unifying, general realizations of the set-theoretic operations ...
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On fuzzy-valued operations and fuzzy-valued fuzzy sets
Fuzzy Sets and Systems, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chun Yong Wang, Bao Qing Hu
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Leximin optimality and fuzzy set-theoretic operations
European Journal of Operational Research, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dubois, Didier +3 more
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Fuzzy Set-Theoretic Operations
2013As we have seen in the previous section, we can identify the operations between fuzzy sets by the corresponding operations on the unit interval, fuzzy set operations being defined point-wise. This implies that we can study operations between fuzzy sets by the corresponding operations over the real unit interval.
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