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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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On an Intuitionistic Fuzzy Probability Theory
2015We present some basic facts about a probability theory on IF-events. It is based on the Lukasiewicz operations and on the corresponding probability theory. We present a representation theorem originally published, as reported by Riecan (Soft Methodology and Random Information Systems, pp 243–248, [21]).
Katarína Cunderlíková +1 more
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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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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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Three-Way Group Conflict Analysis Based on Pythagorean Fuzzy Set Theory
IEEE Transactions on Fuzzy Systems, 2020Hamido Fujita +2 more
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