Results 11 to 20 of about 38,846 (257)
Fuzzy soft bi-interior ideals over Γ−semirings [PDF]
Journal of Hyperstructures, 2021 In this paper, we introduce the notion of fuzzy soft biinterior ideals over Γ−semirings and study some of their algebraicalproperties.bi-interior ...
Marapureddy Murali Krishna Rao
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On interior bases of a semigroup [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2022 The main purpose of this paper is to introduce the concept of interior bases of a semigroup. In addition, we give a characterization when a non-empty subset of a semigroup is an interior base of a semigroup and give necessary and sufficient conditions ...
Wichayaporn Jantanan +3 more
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Almost Interior Gamma-ideals and Fuzzy Almost Interior Gamma-ideals in Gamma-semigroups [PDF]
Mathematics and Statistics, 2021 Ideal theory plays an important role in studying in many algebraic structures, for example, rings, semigroups, semirings, etc. The algebraic structure Г-semigroup is a generalization of the classical semigroup. Many results in semigroups were extended to results in Г-semigroups. Many results in ideal theory of Г-semigroups were widely investigated.
Wichayaporn Jantanan +3 more
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International Journal of Computational Intelligence Systems, 2021 The notions of interior BCK/BCI-algebras, positive implicative interior BCK-algebras, (weak) interior ideals, positive implicative interior ideals, a positive implicative weak interior ideal of type 1, type 2, and type 3 are introduced, and related ...
Sun Shin Ahn +2 more
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Pythagorean Neutrosophic Ideals in Semigroups [PDF]
Neutrosophic Sets and Systems, 2021 In this paper, we introduce the notion of Pythagorean neutrosophic ideals, Pythagorean neutrosophic bi-ideal, Pythagorean neutrosophic interior ideal, Pythagorean neutrosophic (1,2) ideal of semigroups and some of them interesting ...
V. Chinnadurai, A. Arulselvam
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Tri-Quasi Ideals of Γ-Semirings
Discussiones Mathematicae - General Algebra and Applications, 2021 In this paper, as a further generalization of ideals, we introduce the notion of tri-quasi ideal as a generalization of ideal, left ideal, right ideal, bi-ideal, quasi ideal, interior ideal, bi-interior ideal,weak interior ideal, bi-quasi ideal, tri ...
Rao Marapureddy Murali Krishna
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Intuitionistic fuzzy interior ideal of semigroup based on intuitionistic fuzzy point [PDF]
Matrix Science Mathematic, 2017 The intuitionistic fuzzification of the notion of an interior ideal in ordered semigroups is considered. The purpose of this study is to introduce the notion of (∈, ∈ vq)-intuitionistic fuzzy interior ideals and (∈, ∈)-intuitionistic fuzzy nterior ideals
Hidayat Ullah Khan +4 more
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(λ, μ)‐Fuzzy Version of Ideals, Interior Ideals, Quasi‐Ideals, and Bi‐Ideals [PDF]
Journal of Applied Mathematics, 2012 We introduced (λ, μ)‐fuzzy ideals, (λ, μ)‐fuzzy interior ideals, (λ, μ)‐fuzzy quasi‐ideals, and (λ, μ)‐fuzzy bi‐ideals of an ordered semigroup and studied them. When λ = 0 and μ = 1, we meet the ordinary fuzzy ones. This paper can be seen as a generalization of Kehayopulu and Tsingelis (2006), Kehayopulu and Tsingelis (2007), and Yao (2009).
Yuming Feng, P. Corsini
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Applications of some modified open sets in r-neighbourhood spaces with ideals [PDF]
E3S Web of Conferences, 2023 The purpose of this paper is to introduce r-a-open sets, r-semi open sets and r-pre open sets in ideal r-neighbourhood space. We also discuss their properties, characterizations and relations with existing notions with suitable examples.
Tharmar S. +4 more
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EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN, 2022 Semiring is one of the ring extensions, which eliminates the inverse axiom in the first operation. One of the topics on the semiring is the ideal interior. This study introduces the concept of the ideal interior semiring and the ideal interior fuzzy semiring. Further, it examined the properties of the ideal fuzzy semiring interior and the nature of the
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