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Towards fuzzy partial set theory
We sketch a simple theory of fuzzy partial sets, i.e., fuzzy sets that can have of a first-order extension of the recently proposed fuzzy partial propositional logic. We introduc...
BA - Obecná matematika
- 2016 •
- D
Rok uplatnění
D - Stať ve sborníku
Fuzzy Set Theory with undefined membership values
We review the semantics of a simple first-order extension of fuzzy partial propositional logic and a simple theory of fuzzy partial sets of the first order. e introduce a selection of basic notion...
Pure mathematics
- 2017 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
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Fuzzy Relations and Fuzzy Functions in Fuzzy Partial Set Theory
will handle them in a suitable framework that is a fuzzy partial set theory. It provides operations based on the connectives and quantifiers of a background fuzzy logic. We analyse a suitability of operat...
Pure mathematics
- 2018 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
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Intermediate quantifiers in partial fuzzy type theory
In this paper, we extend the partial fuzzy type theory (pFTT) by additional special connectives and prove some of their properties. Then we introduce the theory of intermediate quantifiers initially developed in th...
Pure mathematics
- 2021 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Fuzzy Type Theory, Descriptions, and Partial Functions
This paper studies the possibility to deal with partial functions in fuzzy type theory. Among various ways how to represent them we chose introduction of a special value ``undefined'' laying outside the corresponding domain...
BA - Obecná matematika
- 2011 •
- D
Rok uplatnění
D - Stať ve sborníku
Variable-domain fuzzy sets - Part II
the theory of variable-domain fuzzy sets, based primarily on the representation of basic notions of variable-domain fuzzy set theory. The fuzzy set operations studied, our aim i...
Pure mathematics
- 2020 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Cutting of Partial Fuzzy Relations and Their Compositions – The Case of the Dragonfly Operations
Partial fuzzy sets and relations have been recently developed in partial fuzzy set theory to handle undefined values. In this paper, we introduce the definitions of alpha-cut and fuzz...
Computer and information sciences
- 2022 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
Cutting of Partial Fuzzy Relations and Their Compositions – The Case of the Dragonfly Operations
Partial fuzzy sets and relations have been recently developed in partial fuzzy set theory to handle undefined values. In this paper, we introduce the definitions of alpha-cut and fuzz...
Computer and information sciences
- 2022 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
Sufficient Solvability Conditions for Systems of Partial Fuzzy Relational Equations
of systems of partial fuzzy relational equations. In the case of solvable systems, we provide solutions of the systems. Two standard systems of fuzzy relational equations. In this investigation, we consider seven most-know...
Applied mathematics
- 2020 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
Partial Fuzzy Quantifiers and their Computation
.) to deal with partially defined fuzzy sets. First, we extend algebraic operations usually developed as a special theory of higher-order fuzzy logic. Results contributes to the development of fuzzy...
Pure mathematics
- 2022 •
- Jost •
- Link
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Jost - Ostatní články v recenzovaných periodicích
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