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$\alpha$-Plane Representation for Type-2 Fuzzy Sets: Theory and Applications
IEEE Transactions on Fuzzy Systems, 2009This paper 1) reviews the alpha-plane representation of a type-2 fuzzy set (T2 FS), which is a representation that is comparable to the alpha-cut representation of a type-1 FS (T1 FS) and is useful for both theoretical and computational studies of and for T2 FSs; 2) proves that set theoretic operations for T2 FSs can be computed using very simple alpha-
J.M. Mendel +2 more
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Myhill–Nerode type theory for fuzzy languages and automata
Fuzzy Sets and Systems, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ignjatović, Jelena +3 more
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33rd International Symposium on Multiple-Valued Logic, 2003. Proceedings., 2004
In the paper, the formal type theory is generalized to fuzzy one. The structure of truth values is assumed to be the IMTL-algebra (on [0, 1], the algebra of left continuous t-norms with involutive negation) since the formulation of FTT based on it preserves the elegancy of classical formulation.
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In the paper, the formal type theory is generalized to fuzzy one. The structure of truth values is assumed to be the IMTL-algebra (on [0, 1], the algebra of left continuous t-norms with involutive negation) since the formulation of FTT based on it preserves the elegancy of classical formulation.
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The Theory of Triangle Type-2 Fuzzy Sets
2009 Ninth IEEE International Conference on Computer and Information Technology, 2009Interval Type-2 Fuzzy Set is the most popular kind of Type-2 Fuzzy Set, its characteristic is that all the secondary membership functions equal to 1. Though Interval Type-2 Fuzzy Sets can reduce the calculation complexity than other Type-2 Fuzzy Sets, it loses much fuzzy information simultaneously.
Zehua Lv, Hai Jin, Pingpeng Yuan
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Fuzzy Sets and Systems, 2019
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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Statistical Fuzzy Trigonometric Korovkin-Type Approximation Theory
2011In this chapter, we consider non-negative regular summability matrix transformations in the approximation by fuzzy positive linear operators, where the test functions are trigonometric. So, we mainly obtain a trigonometric fuzzy Korovkin theorem by means of A-statistical convergence.
George A. Anastassiou, Oktay Duman
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Modeling pricing decision problem based on interval type-2 fuzzy theory
Journal of Intelligent & Fuzzy Systems, 2021In practical decision-making problems, decision makers are often affected by uncertain parameters because the exact distributions of uncertain parameters are usually difficult to determine. In order to deal with this issue, the major contribution in this paper is to propose a new type of type-2 fuzzy variable called level interval type-2 fuzzy variable
Pei, Huili, Li, Hongliang, Liu, Yankui
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From Classical to Fuzzy Type Theory
2014Higher-order logic—the type theory (TT)—is a powerful formal theory that has various kinds of applications, for example, in linguistic semantics, computer science, foundations of mathematics and elsewhere. It was proved to be incomplete with respect to standard models. In fifties and sixties of the last century, L.
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High Order Statistical Fuzzy Korovkin-Type Approximation Theory
2011In this chapter, we obtain a statistical fuzzy Korovkin-type approximation result with high rate of convergence. Main tools used in this work are statistical convergence and higher order continuously differentiable functions in the fuzzy sense. An application is also given, which demonstrates that the statistical fuzzy approximation is stronger than ...
George A. Anastassiou, Oktay Duman
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Fuzzy type theory with partial functions
2019This paper is a study of fuzzy type theory (FTT) with partial functions. Out of several possibilities we decided tointroduce a special value ”∗” that represents ”undefined”. In the interpretation of FTT, this value lays outside of thecorresponding domain.
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