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A Summary on Fuzzy Probability Theory
2010 IEEE International Conference on Granular Computing, 2010Fuzzy probability theory is an extension of probability theory to dealing with mixed probabilistic/non-probabilistic uncertainty. It provides a theoretical basis to model uncertainty which is only partly characterized by randomness and defies a pure probabilistic modeling with certainty due to a lack of trustworthiness or precision of the data or a ...
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Fuzzy Relations and Fuzzy Functions in Partial Fuzzy Set Theory
2017In this paper, we will study partially-defined fuzzy relations i.e., fuzzy relations with membership functions that are not necessarily defined everywhere. We will handle them in a suitable framework that is a partial fuzzy set theory. It provides tools for dealing with undefined values of the membership by means of special operations based on the ...
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Possibility Theory,Probability Theory,and Fuzzy Set Theory
1991Since L. Zadeh proposed the concept of a fuzzy set in 1965, the relationships between probability theory and fuzzy set theory have been further discussed. Both theories seem to be similar in the sense that both are concerned with some type of uncertainty and both use the [0, 1] interval for their measures as the range of their respective functions (At ...
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Galois theory for fuzzy fields
Fuzzy Sets and Systems, 2001Let \(F/K\) be a field extension and let \(G(F/K)\) denote the Galois group of \(F/K\). In this paper the author develops a generalized form of the Galois connection between the intermediate fields of a field extension and the subgroups of \(G(F/K)\). In particular, the author extends the Galois connection to include fuzzy intermediate fields of \(F/K\)
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Fuzzy Sets and Systems, 2019
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Ontological grounding of fuzzy theory
2004 IEEE International Conference on Fuzzy Systems (IEEE Cat. No.04CH37542), 2005A schema for the investigation of the philosophical grounding of fuzzy theory is proposed. In particular, the ontological grounding is investigated. It is shown that certain equivalences that exist in classical theory break down in fuzzy theory. In turn, this leads to the generation of new formulas and the laws of conservation fuzzy theory.
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Three-Way Group Conflict Analysis Based on Pythagorean Fuzzy Set Theory
IEEE Transactions on Fuzzy Systems, 2020Hamido Fujita +2 more
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