Results 21 to 30 of about 60 (54)
Convex ordered Gamma-semihypergroups associated to strongly regular relations
MATEMATIKA, 2017 In this study, we introduce and investigate the notion of convex ordered Gamma-semihypergroups associated to strongly regular relations. Afterwards, we prove that if sigma is a strongly regular relation on a convex ordered Gamma-semihypergroup, then the quotient set is an ordered Gamma-sigma-semigroup.
Saber Omidi, Bijan Davvaz
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On characterization of regular ordered ternary semihypergroups by relative hyperideals
, 2021 In the present paper, we introduce the relative left, right, lateral, two-sided hyperideal, relative quasi-hyperideal, relative bi-hyperideal, relative sub-idempotent ordered bi-hyperideal, relative generalized quasi-hyperideal, relative generalized bi-hyperideal, relative regularity of ordered ternary semihypergroups and relative left (right, lateral)
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On Fuzzy Ordered Hyperideals in Ordered Semihyperrings
Advances in Fuzzy Systems, Volume 2019, Issue 1, 2019., 2019 In this paper, we introduce the concept of fuzzy ordered hyperideals of ordered semihyperrings, which is a generalization of the concept of fuzzy hyperideals of semihyperrings to ordered semihyperring theory, and we investigate its related properties. We show that every fuzzy ordered quasi‐hyperideal is a fuzzy ordered bi‐hyperideal, and, in a regular ...
O. Kazancı +3 more
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On (∈, ∈∨qk)‐Fuzzy Hyperideals in Ordered LA‐Semihypergroups
Discrete Dynamics in Nature and Society, Volume 2018, Issue 1, 2018., 2018 The concept of (∈, ∈∨qk)‐fuzzy hyperideal of an ordered LA‐semihypergroup is introduced by the ordered fuzzy points, and related properties are investigated. We study the relations between different (∈, ∈∨qk)‐fuzzy hyperideal of an ordered LA‐semihypergroup. Furthermore, we study some results on homomorphisms of (∈, ∈∨qk)‐fuzzy hyperideals.
Muhammad Azhar +4 more
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Some Properties of Multiplicative Hv‐Rings of Polynomials over Multiplicative Hyperrings
Algebra, Volume 2014, Issue 1, 2014., 2014 The set of all polynomials R[x], over a multiplicative hyperring (R, + , ·), form a commutative group with respect to the component‐wise addition (+) of the polynomials. For polynomials f, g in R[x], f*g is a set of polynomials whose (k + 1)th components k∈N∪0 are chosen from the set ∑i+j=kai · bj, where ai and bj are the (i + 1)th and the (j + 1)th ...
Utpal Dasgupta, Andrei V. Kelarev
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Structure of Intuitionistic Fuzzy Sets in Γ‐Semihyperrings
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 As we know, intuitionistic fuzzy sets are extensions of the standard fuzzy sets. Now, in this paper, the basic definitions and properties of intuitionistic fuzzy Γ‐hyperideals of a Γ‐semihyperring are introduced. A few examples are presented. In particular, some characterizations of Artinian and Noetherian Γ‐semihyperring are given.
Bayram Ali Ersoy +2 more
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Γ‐Semihypergroups and Regular Relations
Journal of Mathematics, Volume 2013, Issue 1, 2013., 2013 In this paper we discuss the structure of Γ‐semihypergroups. We prove some basic results and present several examples of Γ‐semihypergroups. Also, we obtain some properties of regular and strongly regular relations on a Γ‐semihypergroup and construct a Γ‐semigroup from a Γ‐semihypergroup by using the notion of fundamental relation.
S. Mirvakili +3 more
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Some Algebraic Classification of Semiregular Hypermodules in Connection to the Radical
Journal of Mathematics, Volume 2024, Issue 1, 2024.We call a Krasner right S‐hypermodule A regular if each cyclic subhypermodule of A is a direct summand of A, and we also call A semiregular if every finitely generated subhypermodule of A lies above a direct summand of A. In this study, some properties of such hypermodules are achieved.
Yıldız Aydın +2 more
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Type‐2 Fuzzy Soft Sets and Their Applications in Decision Making
Journal of Applied Mathematics, Volume 2012, Issue 1, 2012., 2012 Molodtsov introduced the theory of soft sets, which can be used as a general mathematical tool for dealing with uncertainty. This paper aims to introduce the concept of the type‐2 fuzzy soft set by integrating the type‐2 fuzzy set theory and the soft set theory. Some operations on the type‐2 fuzzy soft sets are given.
Zhiming Zhang +2 more
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Characterization of (m, n)-regular ordered semihypergroups
FilomatWe, first, characterize (m, n)-hyperideals of ordered semihypergroups in terms of its (m, 0)-hyperideals and (0, n)-hyperideals as well as minimality of (m, n)-hyperideals of ordered semihypergroups in terms of its minimal (m, 0)-hyperideals and minimal (0, n)-hyperideals.
Md Ali, Noor Khan
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