Results 21 to 30 of about 420 (261)
Rough Fuzzy Ideals Induced by Set-Valued Homomorphism in Ternary Semigroups
Journal of Function Spaces, 2022 The main objective of this paper is to characterize rough approximations of fuzzy ideals in ternary semigroups. Rough fuzzy ideals are used to deal with vague and incomplete information in decision-making problems.
Shahida Bashir +3 more
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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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Interval-Valued Semiprime Fuzzy Ideals of Semigroups
Advances in Fuzzy Systems, 2014 We introduce the notion of (i-v) semiprime (irreducible) fuzzy ideals of semigroups and investigate its different algebraic properties. We study the interrelation among (i-v) prime fuzzy ideals, (i-v) semiprime fuzzy ideals, and (i-v) irreducible fuzzy ...
Sukhendu Kar, Paltu Sarkar, Kostaq Hila
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The Fuzzy Prime Spectrum of Partially Ordered Sets
International Journal of Mathematics and Mathematical Sciences, 2023 We study the space of prime fuzzy ideals (and the space of maximal fuzzy ideals as a subspace) equipped with the hull-kernel topology in partially ordered sets.
Derso Abeje Engidaw +5 more
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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, Chinram Ronnason
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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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Generalizations of prime intuitionistic fuzzy ideals of a lattice [PDF]
Notes on IFSAs a generalization of the concepts of an intuitionistic fuzzy prime ideal and a prime intuitionistic fuzzy ideal, the concepts of an intuitionistic fuzzy 2-absorbing ideal and a 2-absorbing intuitionistic fuzzy ideal of a lattice are introduced.
Poonam Kumar Sharma
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Fuzzy and Gradual Prime Ideals
MathematicsThere is a correspondence between equivalence classes of fuzzy ideals, on a commutative ring, and decreasing gradual ideals. In this paper, we explore how to construct a fuzzy ideal starting from any decreasing gradual ideal σ.
Pascual Jara, Salwa Mohamed
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Generalized roughness in (∈,∈∨q)-fuzzy ideals of hemirings
Kuwait Journal of Science, 2017 Generalized roughness for fuzzy ideals in hemirings is studied. Approximations for fuzzy prime ideals are discussed. It is shown that generalized lower approximation as well as generalized upper approximation of (∈ , ∈∨q)-fuzzy prime (semiprime) ideals ...
Muhammad Rameez +2 more
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