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Formalization of Fuzzy Control in Possibility Theory via Rule Extraction
Possibility system has been recently recognized as a potential foundational theory for fuzzy set theory though the concept of possibility originated from the membership function of fuzzy sets. As an application of fuzzy set theory, fuzzy control has been
Wei Mei
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Fuzzy Number, Fuzzy Difference, Fuzzy Differential: Theory and Applications
This Topic Issue comprises sixteen pioneering academic papers that delve deeply into the realm of fuzzy reasoning, optimization, decision making, and control [...]
Changyou Wang, Dong Qiu, Yonghong Shen
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In this work we propose a formal system for fuzzy algebraic reasoning. The sequent calculus we define is based on two kinds of propositions, capturing equality and existence of terms as members of a fuzzy set. We provide a sound semantics for this calculus and show that there is a notion of free model for any theory in this system, allowing us (with ...
Davide Castelnovo, Marino Miculan
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Fuzzy semigroup is an algebraic extension of semigroup. It has found application in fuzzy coding theory, fuzzy nite state machines and fuzzy languages. In this paper, a comprehensive literature review on fuzzy semigroup theory is realized.
Johnson Aderemi Awolola +1 more
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Roughness in Fuzzy Cayley Graphs
Rough set theory is a worth noticing approach for inexact and uncertain system modelling. When rough set theory accompanies with fuzzy set theory, which both are a complementary generalization of set theory, they will be attended by potency in ...
M.H. Shahzamanian, B. Davvaz
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Executive Summary In the contemporary time, the reliability of any product has become a big issue from the customer’s perspective due to exponentially mushrooming markets of electronics and digital gadgets.
Palash Dutta, Rupjit Saikia
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Although the systematic emergence of the fuzzy functional analysis theory has started in the last few years, we are starting to construct a new theory of fuzzy operator ideals inspired by the classical (crisp) operator ideals theory.
Laith K. Shaakir +2 more
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Computer and fuzzy theory application: review in home appliances [PDF]
Clays have a tendency to this article first introduces the basic concepts of fuzzy theory, including comparisons between fuzzy sets and traditional explicit sets, fuzzy sets basic operations such as the membership function of the set and the colloquial ...
Tim Chen +3 more
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Development of the fuzzy sets theory: weak operations and extension principles [PDF]
The paper considers the problems that arise when using the theory of fuzzy sets to solve applied problems. Unlike stochastic methods, which are based on statistical data, fuzzy set theory methods make sense to apply when statistical data are not ...
S. Katsyv +5 more
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Libor Behounek, Petr Cintula
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