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Fuzzy Prime Ideal Theorem in Residuated Lattices
International Journal of Mathematics and Mathematical Sciences, 2021 This paper mainly focuses on building the fuzzy prime ideal theorem of residuated lattices. Firstly, we introduce the notion of fuzzy ideal generated by a fuzzy subset of a residuated lattice and we give a characterization.
Pierre Carole Kengne +2 more
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Intuitionistic fuzzy weakly prime ideals [PDF]
Journal of Hyperstructures, 2017 In this study, the fundamental definitions and theorems regarding intuitionistic fuzzy sets and intuitionistic fuzzy ideals of commutative ring R with identity have been given as preliminaries.
Tu˘gba Arkan +3 more
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Fuzzy weakly prime Γ-ideals in Γ-rings [PDF]
Journal of Hyperstructures, 2017 In this work, we investigate fuzzy weakly prime Γ-ideal, fuzzy partial weakly prime Γ-ideal and fuzzy semiprime Γ- ideal of a commutative Γ-ring with nonzero identity. We obtained some characterizations of fuzzy weakly prime Γ-ideal, partial weakly prime
G¨ul¸sah Ye¸silkurt +3 more
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On fuzzy prime and fuzzy semiprime ideals of hypergroupoids [PDF]
Journal of Hyperstructures, 2016 We deal with an hypergroupoid endowed with a rela- tion denoted by \", we call it{hypergroupoid. We prove that a nonempty subset A of a{hypergroupoid H is a prime (resp. semiprime) ideal of H if and only if the characteristic function fA is a fuzzy prime
Niovi Kehayopulu
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On intuitionistic fuzzy almost prime ideals and intuitionistic fuzzy almost prime submodules [PDF]
Notes on IFS, 2023 The aim of this paper is to present some characterizations of almost prime ideals and almost prime submodules in the intuitionistic fuzzy environment. We investigate various properties of these concepts and achieve many results.
P. K. Sharma
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Intuitionistic fuzzy normed prime and maximal ideals
AIMS Mathematics, 2021 Motivated by the new notion of intuitionistic fuzzy normed ideal, we present and investigate some associated properties of intuitionistic fuzzy normed ideals.
Nour Abed Alhaleem, Abd Ghafur Ahmad
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On Interval-valued Anti Fuzzy Prime bi-ideal of Semigroup
Tikrit Journal of Pure Science, 2023 In this paper, we introduce the notions of interval-valued anti fuzzy prime (resp. strongly prime and semiprime) bi-ideals of semigroup. By using these ideas, we characterize those semigroup for which each interval anti-fuzzy bi-ideal is semiprime and ...
S. A. Wuhaib +2 more
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Picture fuzzy semi-prime ideals
Journal of Fuzzy Extension and Applications, 2023 Picture Fuzzy Sets (PFSs) are expanded to include Intuitionistic Fuzzy Sets (IFSs), with the extra advantage of avoiding underlying limitations. PFS based models may be adequate in situations when we face opinions involving more answer of types: yes, abstain and no. In this paper, the concepts of semi-prime ideals of PFS are explained.
Adak, Amal, Gunjan, Manish, Agarwal, N
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Generalizations of prime fuzzy ideals of a lattice [PDF]
Journal of Hyperstructures, 2020 As a generalization of the concepts of a fuzzy prime ideal and a prime fuzzy ideal, the concepts of a fuzzy 2-absorbingideal and a 2-absorbing fuzzy ideal of a lattice are introduced. Some results on such fuzzy ideals are proved.
Yogita Subhash Patil +1 more
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Fuzzy weakly irreducible ideals of a ring [PDF]
Journal of Hyperstructures, 2021 In this paper, we introduce the concept of a fuzzy weakly irreducible ideal of a commutative ring R with identity.This concept is a generalization of the concept of a fuzzy strongly irreducible ideal.
Jyoti A. Khubchandani +1 more
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