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Aggregation functions for typical hesitant fuzzy elements and the action of automorphisms
TLDR
This work studies the aggregation operators on the set of all possible membership degrees of typical hesitant fuzzy sets, which we refer to as H, as well as the action of H-automorphisms and analyzing the H-conjugate functions over such operators. Expand
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The best interval representations of t-norms and automorphisms
TLDR
This paper relates an interval generalization for t-norms given by the authors to the interval generalizations of automorphism given by M. Gehrke et al. Expand
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A Historical Account of Types of Fuzzy Sets and Their Relationships
TLDR
In this paper, we review the definition and basic properties of the different types of fuzzy sets that have appeared up to now in the literature. Expand
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On the computing power of fuzzy Turing machines
TLDR
We work with fuzzy Turing machines (FTMs) and we study the relationship between this computational model and classical recursion concepts such as computable functions, recursively enumerable (r.e.) sets and universality. Expand
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A New Approach to Interval-Valued Choquet Integrals and the Problem of Ordering in Interval-Valued Fuzzy Set Applications
TLDR
We consider the problem of choosing a total order between intervals in multiexpert decision making problems. Expand
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On interval fuzzy S-implications
TLDR
This paper presents an analysis of interval-valued S-implications and interval- valued automorphisms, showing a way to obtain an interval-Validated S-Implication from two S- Implications, such that the resulting interval-value is said to be obtainable. Expand
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Preaggregation Functions: Construction and an Application
TLDR
In this paper, we introduce the notion of preaggregation function. Expand
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A class of fuzzy multisets with a fixed number of memberships
TLDR
We present a generalization of Atanassov's operators for n-dimensional fuzzy values to higher dimensions. Expand
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On residual implications derived from overlap functions
TLDR
This paper considers the existent results on residual implication induced by fuzzy conjunctions to introduce the concept of residual implication derived from overlap functions, denoted by R O -implication, preserving the residuation property. Expand
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Xor-Implications and E-Implications: Classes of Fuzzy Implications Based on Fuzzy Xor
TLDR
We introduce an autonomous definition of the connective fuzzy Xor, which is independent from others connectives. Expand
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