Results 21 to 30 of about 1,019,548 (292)
On Rough Fuzzy Prime Ideals in Left Almost Semigroups
International Journal of Analysis and Applications, 2021 In this paper we shall introduce the notion of rough prime ideals and rough fuzzy prime ideals in LA-semigroups. We proved that the lower and the upper approximation of a prime ideal is a prime ideal and we also proved that a fuzzy subset f of an LA ...
Ahmed Elmoasry
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L-Fuzzy Prime Ideals in Universal Algebras
Advances in Fuzzy Systems, 2019 In this paper, the notions of L-fuzzy prime ideals and maximal L-fuzzy ideals of universal algebras are introduced by applying the general theory of algebraic fuzzy systems.
Berhanu Assaye Alaba +1 more
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Fuzzy Weakly 2-Absorbing Ideals of a Lattice [PDF]
Discussiones Mathematicae - General Algebra and Applications, 2022 As a generalization of the concept of a weakly prime ideal, we introduce the concepts of a fuzzy weak prime ideal, a fuzzy weakly 2-absorbing ideal of a lattice.
Nimbhorkar Shriram K., Patil Yogita S.
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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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ℒ-Fuzzy Ideals of Residuated Lattices [PDF]
Discussiones Mathematicae - General Algebra and Applications, 2019 This paper mainly focuses on building the ℒ-fuzzy ideals theory of residuated lattices. Firstly, we introduce the notion of ℒ-fuzzy ideals of a residuated lattice and obtain their properties and equivalent characterizations. Also, we introduce the notion
Kengne Pierre Carole +3 more
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Proper Fuzzification of Prime Ideals of a Hemiring
Advances in Fuzzy Systems, 2012 Prime fuzzy ideals, prime fuzzy k-ideals, and prime fuzzy h-ideals are roped in one condition. It is shown that this way better fuzzification is achieved. Other major results of the paper are: every fuzzy ideal (resp., k-ideal, h-ideal) is contained in a
H. V. Kumbhojkar
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L-Fuzzy Semiprime Ideals of a Poset
Advances in Fuzzy Systems, 2020 In this paper, we introduce the concept of L-fuzzy semiprime ideal in a general poset. Characterizations of L-fuzzy semiprime ideals in posets as well as characterizations of an L-fuzzy semiprime ideal to be L-fuzzy prime ideal are obtained.
Berhanu Assaye Alaba +1 more
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Rough semigroups and rough fuzzy semigroups based on fuzzy ideals
Open Mathematics, 2016 In this paper, we firstly introduce a special congruence relation U(μ, t) induced by a fuzzy ideal μ in a semigroup S. Then we define the lower and upper approximations based on a fuzzy ideal in semigroups. We can establish rough semigroups, rough ideals,
Wang Qiumei, Zhan Jianming
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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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Prime fuzzy ideals over noncommutative rings [PDF]
Fuzzy Sets and Systems, 2010 In this paper we introduce prime fuzzy ideals over a noncommutative ring. This notion of primeness is equivalent to level cuts being crisp prime ideals. It also generalizes the one provided by Kumbhojkar and Bapat in 1993, which lacks this equivalence in
G. Navarro +2 more
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