Results 1 to 10 of about 119 (107)
Prime Fuzzy Ideals, Weakly Prime Fuzzy Ideals of Γ-semigroups
Fuzzy Information and Engineering, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sujit Kumar Sardar
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Prime fuzzy ideals over noncommutative rings [PDF]
Fuzzy Sets and Systems, 2012 Section 1 has been rewritten, corrected typos, added ...
Gabriel Navarro, F J Lobillo
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ROUGH PRIME IDEALS AND ROUGH FUZZY PRIME IDEALS IN GAMMA-SEMIGROUPS [PDF]
Communications of the Korean Mathematical Society, 2009 The notion of rough sets was introduced by Z. Pawlak in the year 1982. The notion of a i-semigroup was introduced by M. K. Sen in the year 1981. In 2003, Y. B. Jun studied the roughness of subi- semigroups, ideals and bi-ideals in i-semigroups. In this paper, we study rough prime ideals and rough fuzzy prime ideals in i-semigroups.
Ronnason Chinram
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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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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. Also, we introduce different types of fuzzy prime ideals and establish existing relationships between them.
Pierre Carole Kengne +2 more
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Fuzzy prime ideals redefined [PDF]
Journal of Inequalities and Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Intuitionistic fuzzy weakly prime ideals
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. After the preliminaries, we introduce the notions of intuitionistic fuzzy weakly prime ideals, intuitionistic fuzzy partial weakly prime ideals, intuitionistic ...
Ersoy, Bayram Ali +3 more
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On Weakly Prime Fuzzy Ideals of Commutative Rings
Journal of Engineering Technology and Applied Sciences, 2019 In this paper, we present a new notion of fuzzy ideals : called weakly prime fuzzy ideal. Let R be a commutative ring with non-zero identity. A nonconstant fuzzy ideal µ of R is called weakly prime fuzzy ideal if 0_t != x_r y_s ∈ µ implies x_r ∈ µ or y_s ∈ µ for all t ∈ (0, µ(0)]. We investigate some properties of this notion.
Sönmez, Deniz, Yeşilot, Gürsel
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Journal of Mathematical Analysis and Applications, 1988 Fuzzy ideals were introduced by \textit{W. J. Liu} [Fuzzy Sets Syst. 8, 133--139 (1982; Zbl 0488.20005); cf. also \textit{S. Sessa}, ibid. 13, 95--100 (1984; Zbl 0568.20004)]. The paper characterizes L-fuzzy prime ideals and L-fuzzy maximal ideals of a given ring by formulas depending on crisp ideals of this ring.
Swamy, U.M, Swamy, K.L.N
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International Journal of Computing Science and Applied Mathematics, 2018 In this paper the concept of prime L-fuzzy ideals and L-fuzzy prime ideals of an ADL A with truth values in a complete lattice L satisfying the infinite meet distributive law are introduced. All prime L-fuzzy ideals of a given ADL A are determined by establishing a one-to- one correspondence between prime L-fuzzy ideals of an ADL A and the pairs (P;a),
Ch. Santhi Sundar Raj +2 more
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