Results 241 to 250 of about 28,167 (281)
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Journal of Intelligent & Fuzzy Systems, 2014
The aim of this paper is to introduce and investigate (bounded commutative) monadic BE-algebras. It's proved that for each m-relatively complete subalgebra of a bounded commutative monadic BE-algebra, we can defined a bounded commutative monadic BE-algebra, moreover, each bounded commutative monadic BE-algebra is of this form.
Zaheriani, Seyed Yashar, Zahiri, Omid
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The aim of this paper is to introduce and investigate (bounded commutative) monadic BE-algebras. It's proved that for each m-relatively complete subalgebra of a bounded commutative monadic BE-algebra, we can defined a bounded commutative monadic BE-algebra, moreover, each bounded commutative monadic BE-algebra is of this form.
Zaheriani, Seyed Yashar, Zahiri, Omid
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2019
Summary: The aim of this paper is to introduce the notion of fuzzy points and weak filters in BE-algebras and investigate their properties. We generalize some results in commutative and self-distributive weak BE-algebras. Then, we establish some relations among filters, fuzzy filters and weak filters in BE-algebras.
Najafi, Ardavan, Borumand Saeid, Arsham
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Summary: The aim of this paper is to introduce the notion of fuzzy points and weak filters in BE-algebras and investigate their properties. We generalize some results in commutative and self-distributive weak BE-algebras. Then, we establish some relations among filters, fuzzy filters and weak filters in BE-algebras.
Najafi, Ardavan, Borumand Saeid, Arsham
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2015
Summary: We introduce modal BE-algebra and study some structural properties of modal BE-algebra. The notions of modal upper set, modal BE-filter, BE-tautology filter, dual modal BE-algebra and quotient modal BE-algebra are introduced and their basic properties are investigated.
Yousefi Kia, O. +2 more
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Summary: We introduce modal BE-algebra and study some structural properties of modal BE-algebra. The notions of modal upper set, modal BE-filter, BE-tautology filter, dual modal BE-algebra and quotient modal BE-algebra are introduced and their basic properties are investigated.
Yousefi Kia, O. +2 more
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Ideals in endomorphic BE-algebras
2016 International Conference on Electrical, Electronics, and Optimization Techniques (ICEEOT), 2016The concepts of endomorphic BE-algebras and endomorphic ideals are introduced. Some properties of endomorphic ideals of BE-algebras are observed. The notion of endomorphic congruences is introduced in BE-algebras. An isotone bijection is obtained between the set of all endomorphic congruences and endomorphic ideals is derived.
M. Sambasiva Rao, M. Bala Prabhakar
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2018
Flaminio and Montagna were the first to present a unified approach to states and probabilistic many-valued logic in a logical and algebraic setting (Flaminio and Montagna, Inter J Approx Reason, 50:138–152, 2009, [95]). They added a unary operation, called internal state or state operator to the language of MV-algebras which preserves the usual ...
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Flaminio and Montagna were the first to present a unified approach to states and probabilistic many-valued logic in a logical and algebraic setting (Flaminio and Montagna, Inter J Approx Reason, 50:138–152, 2009, [95]). They added a unary operation, called internal state or state operator to the language of MV-algebras which preserves the usual ...
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Communications on Applied Nonlinear Analysis
In this present article we propounded the idea of normal BE-algebras, derived some significant properties of normal BE-algebras and obtained a set of equivalent conditions indicating when a normal BE-algebra assumes the characteristics of an involutory BE-algebra.
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In this present article we propounded the idea of normal BE-algebras, derived some significant properties of normal BE-algebras and obtained a set of equivalent conditions indicating when a normal BE-algebra assumes the characteristics of an involutory BE-algebra.
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2018
Many new fields of science require a probability theory based on non-classical logics. We know multiple-valued logics are non-classical logics and became popular in computer science since it was understood that they play a fundamental role in fuzzy logics. In analogous to probability measure, the states on multiple-valued algebras proved to be the most
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Many new fields of science require a probability theory based on non-classical logics. We know multiple-valued logics are non-classical logics and became popular in computer science since it was understood that they play a fundamental role in fuzzy logics. In analogous to probability measure, the states on multiple-valued algebras proved to be the most
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2018
In a BE-algebra, filters are important substructures which play an important role in the characterization of many special classes of BE-algebras. Also, as it is well known that filters are exactly the kernels of congruences, many authors tried to define various filters of BE-algebras in order to construct quotient BE-algebras and investigate some of ...
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In a BE-algebra, filters are important substructures which play an important role in the characterization of many special classes of BE-algebras. Also, as it is well known that filters are exactly the kernels of congruences, many authors tried to define various filters of BE-algebras in order to construct quotient BE-algebras and investigate some of ...
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Linear Diophantine fuzzy BE-algebras
Quarterly Journal of Research and Planning in Higher EducationWith the intention of applying linear Diophantine fuzzy sets to (logical) algebraic structures, in particular BE-algebra, the concept of weak linear Diophantine fuzzy BE-algebras is introduced, and its related properties are investigated. The conditions for the weak linear Diophantine fuzzy set to be a weak linear Diophantine fuzzy BE-algebra are ...
M.A. ÖZTÜRK, D YILMAZ, Y.B. JUN
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