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Uninorms in L∗-fuzzy set theory
Fuzzy Sets and Systems, 2004The paper offers an extension of some fundamental concepts of the t-norms and aggregation operators theory to the conceptual context of interval-valued fuzzy set theory. The approach follows from the representation of the above fuzzy set theories by means of \(L^*\) lattices. The extension is considered with respect to the concepts of t-norm, t-conorm,
Deschrijver, Glad, Kerre, Etienne E.
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2007
This paper analyzes some of the main issues involved in the construction of fuzzy set theories. It reviews both standard solutions (based on the well-known t-norms and t-conorms), as well as less conventional proposals that provide alternative views on, e.g. the definition of fuzzy connectives and the study of their properties.
Ana Pradera +3 more
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This paper analyzes some of the main issues involved in the construction of fuzzy set theories. It reviews both standard solutions (based on the well-known t-norms and t-conorms), as well as less conventional proposals that provide alternative views on, e.g. the definition of fuzzy connectives and the study of their properties.
Ana Pradera +3 more
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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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Intuitionistic Fuzzy Set Theories
2013In real-life management situations, there exist a great deal of fuzziness. In 1965, Zadeh [1] firstly introduced the concept of the fuzzy set, which is an effective tool to deal with fuzziness. However, the fuzzy set employs single index (i.e., membership degree or function) to describe the two states of the support and opposition simultaneously ...
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1993
It is an old problem of fuzzy set theory, already stressed in Zadeh (1965), that we do not have really convincing arguments for something like a “right choice” of our connectives, i.e. of our operations describing the union and intersection of fuzzy sets. Of course, the problem in the past has been discussed from different points of view, cf.
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It is an old problem of fuzzy set theory, already stressed in Zadeh (1965), that we do not have really convincing arguments for something like a “right choice” of our connectives, i.e. of our operations describing the union and intersection of fuzzy sets. Of course, the problem in the past has been discussed from different points of view, cf.
openaire +1 more source