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Fuzzy Operator Theory in Mathematical Analysis

, 2018
This self-contained monograph presents an overview of fuzzy operator theory in mathematical analysis. Concepts, principles, methods, techniques, and applications of fuzzy operator theory are unified in this book to provide an introduction to graduate ...
Yeol Je Cho, Themistocles M Rassias, Reza Saadati   +2 more
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Image edge extraction based on fuzzy theory and Sobel operator

2016 IEEE 20th International Conference on Computer Supported Cooperative Work in Design (CSCWD), 2016
Image edge detection is a hot topic in the study of image processing and computer vision. Accurate edge information is helpful to the study of high-level image features. However, the image edge information is vague and uncertain. Fuzzy theory is expressed with the imprecise knowledge, and it is one of the effective methods to solve the problem with ...
Yi Long
exaly   +2 more sources

L-fuzzy automata theory: Some characterizations via general fuzzy operators

Fuzzy Sets and Systems, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shailendra Singh 0005, S. P. Tiwari
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Almost strongly fuzzy bounded operators with applications to fuzzy spectral theory

Fuzzy Sets and Systems, 2022
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Fuzzy compact operators and topological degree theory

Fuzzy Sets and Systems, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ildar Sadeqi, M. Salehi
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Weighted minimum and maximum operations in fuzzy set theory

Information Sciences, 1986
This short note comments on the interpretation of weighted minimum and maximum operations introduced in a previous paper [ibid. 36, 85-121 (1985; Zbl 0582.03040)] as medians, and corrects a misleading statement about it.
Didier Dubois, Henri Prade
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Closure Operators in Fuzzy Set Theory

1999
In accordance with Tarski point of view, in this chapter the theory of closure operators is proposed as a unifying tool for fuzzy logics. Indeed, let F be the set of formulas of a given language. Then an abstract fuzzy logic is defined by a fuzzy semantics (i.e. a class of valuations of the formulas in F) and by a closure operator in the lattice of the
L. Biacino, GERLA, Giangiacomo
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Associative monotonic operations in fuzzy set theory

Fuzzy Sets and Systems, 1984
Properties of associative monotonic binary operations on an interval are thoroughly investigated. These considerations allow the authors to show that the lattice operations have a rather unique position among other possible operations on fuzzy sets. Other consequences are given for generalized operations on fuzzy numbers or random variables.
Czogała, Ernest, Drewniak, Józef
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The operations on intuitionistic fuzzy values in the framework of Dempster–Shafer theory

Knowledge-Based Systems, 2012
This paper presents a critical analysis of conventional operations on intuitionistic fuzzy values (IFVs) and their applicability to the solution of multiple criteria decision making (MCDM) problems in the intuitionistic fuzzy setting. Two sets of operations on IFVs based on the interpretation of intuitionistic fuzzy sets in the framework of the ...
Ludmila Dymova, Pavel V. Sevastjanov
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Approaches to the representations and logic operations of fuzzy concepts in the framework of axiomatic fuzzy set theory I

Information Sciences, 2007
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Xiaodong Liu 0001, Wei Wang 0036, Tianyou Chai, Wanquan Liu   +3 more
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