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Quasi-interior ideals and fuzzy quasi-interior ideals of semigroups
Marapureddy Murali Krishna Rao 원광대학교 기초자연과학연구소 2020 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.19 No.2
In this paper, we introduce the notion of quasi-interior ideal as a generalization of quasi-ideal and interior ideal of semigroup and fuzzy quasi-interior ideal of semigroup. We characterize the regular semigroup in terms of fuzzy quasi-interior ideal of semigroup.
Fuzzy tri-ideals and fuzzy soft tri-ideals over semirings
Marapureddy Murali Krishna Rao,Rajendra Kumar Kona 원광대학교 기초자연과학연구소 2022 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.24 No.3
In this paper, we introduce the notion of fuzzy tri-ideal, fuzzy soft tri-ideal over semirings and study some of their properties. Every fuzzy soft left (right) ideal over semiring is a fuzzy soft right (left) tri- ideal over semiring. We characterize the regular semiring in terms of fuzzy left ( right) tri ideals and fuzzy soft left ( right) tri-ideals over semiring.
T-fuzzy ideals in ordered Γ-semirings
Marapureddy Murali Krishna Rao 원광대학교 기초자연과학연구소 2017 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.13 No.2
In this paper,we introduce the notion of $T-$fuzzy ideal, $T-$fuzzy left (right) $k-$ideal, $T-$fuzzy interior ideal, $T-$fuzzy quasi ideal, $T-$fuzzy bi-ideal in an ordered $\Gamma-$semiring. We characterize the regular ordered $\Gamma-$semiring in terms of $T-$fuzzy left (right) ideal, $T-$fuzzy quasi ideal, $T-$fuzzy bi-ideal, $T-$fuzzy interior ideal and study their properties and relations between them. We establish that $T-$fuzzy ideal, $T-$fuzzy bi-ideal, $T-$fuzzy quasi ideal and $T-$fuzzy interior ideal are equivalent in a regular ordered $\Gamma -$semiring and characterize the simple ordered $\Gamma -$semiring in terms of $T-$fuzzy interior ideal.
Quasi-interior ideals and fuzzy quasi-interior ideals of $\Gamma$-semirings
Marapureddy Murali Krishna Rao 원광대학교 기초자연과학연구소 2019 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.18 No.1
In this paper, we introduce the notion of quasi-interior ideal and fuzzy quasi-interior ideal of $\Gamma$-semiring and we characterize the regular $\Gamma$-semiring in terms of fuzzy quasi-interior ideal of $\Gamma$-semiring.
Fuzzy ideal graphs of a semigroup
Marapureddy Murali Krishna Rao 원광대학교 기초자연과학연구소 2018 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.16 No.3
The main objective of this paper is to connect fuzzy theory, graph theory and fuzzy graph theory with algebraic structure. We introduce the notion of fuzzy graph of semigroup, the notion of fuzzy ideal graph of semigroup as a generalization of fuzzy ideal of semigroup, intuitionistic fuzzy ideal of semigroup, fuzzy graph and graph, the notion of isomorphism of fuzzy graphs of semigroups and regular fuzzy graph of semigroup and we study some of their properties.
Tripolar fuzzy interior ideals and tripolar fuzzy soft interior ideals over semigroups
Marapureddy Murali Krishna Rao 원광대학교 기초자연과학연구소 2020 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.20 No.3
M.Murali Krishna Rao [14] introduced the notion of tripolar fuzzy set as a generalization of fuzzy set, bipolar fuzzy set and intuitionistic fuzzy set.The tripolar fuzzy set representation is very useful in discriminating relevant elements, irrelevent elements and contrary elements. In this paper,we introduce the notion of tripolar fuzzy interior ideal,tripolar fuzzy soft ideal, tripolar fuzzy soft interior ideal over semigroup and study some of their algebraic properties.
Bi-interior ideals and Fuzzy bi-interior ideals of Γ-semigroups
Marapureddy Murali Krishna Rao 원광대학교 기초자연과학연구소 2022 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.24 No.1
In this paper, we introduce the notion of a bi-interior ideal, fuzzy bi-interior ideal of Γ-semigroup and study the properties of bi-interior ideals, minimal bi-interior ideal and fuzzy bi-interior ideal. We characterize the (fuzzy)bi-interior ideal of Γ-semigroup and regular Γ-semigroup in terms of (fuzzy) bi-interior ideal of Γ-semigroup.
Fuzzy (soft) tri-quasi ideals of $\Gamma$-semirings
Marapureddy Murali Krishna Rao,Rajendra Kumar Kona,Noorbhasha Rafi 원광대학교 기초자연과학연구소 2024 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.27 No.2
In this paper, we introduce the notion of a fuzzy tri-quasi ideal and a fuzzy soft tri-quasi ideal of $\Gamma$-semirings. We characterize the regular $\Gamma$-semiring in terms of fuzzy tri-quasi ideals and fuzzy soft tri-quasi ideals of a $\Gamma$-semiring and study some of their properties.