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New types of fuzzy bi-ideals in ordered semigroups
In Jun et al. (Bull Malays Math Sci Soc (2) 32(3):391–408, 2009), (α, β)-fuzzy bi-ideals are introduced and some characterizations are given. In this paper, we generalize the concept of (α, β)-fuzzy bi-ideals and define ( $$\in ,\in \vee q_{k}$$ )-fuzzy bi-ideals ...
Khan, Asghar +3 more
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A p-Ideal in BCI-Algebras Based on Multipolar Intuitionistic Fuzzy Sets
In 2020, Kang, Song and Jun introduced the notion of multipolar intuitionistic fuzzy set with finite degree, which is a generalization of intuitionistic fuzzy set, and they applied it to BCK/BCI-algebras.
Jeong-Gon Lee +2 more
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Fuzzy ideals and fuzzy bi-ideals in fuzzy semigroups
Fuzzy Sets and Systems, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
K. A. Dib, N. Galhum
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Generalized fuzzy bi-ideals of semigroups
Soft Computing, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Osman Kazanci, Sultan Yamak
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Fuzzy bi-ideal of a near-algebra
AIP Conference Proceedings, 2020In this paper we introduce the notion of fuzzy bi-ideals of near-algebra and obtain some of the important properties related the notion. We also study cartesian product of fuzzy bi-ideals in near-algebra and explore certain characterizations.
B. Jyothi +3 more
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Fuzzy generalized Bi-ideals in semigroups
Information Sciences, 1992The paper deals with fuzzy subsemigroups of a semigroup [cf. \textit{N. Kuroki}, ibid. 53, No. 3, 203-236 (1991; Zbl 0714.20052), \textit{X. P. Wang, W. J. Liu}, ibid. 68, No. 3, 225-231 (1993; Zbl 0794.20065)]. The characterization of regular semigroups by generalized bi-ideals [cf. \textit{S. Lajos}, Proc. Conf., Szeged 1976, Colloq. Math. Soc. János
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On fuzzy ideals and fuzzy bi-ideals in semigroups
Fuzzy Sets and Systems, 1981Abstract In this paper we give some properties of fuzzy ideals and fuzzy bi-ideals of semigroups, and characterize semigroups that are (left) duo, (left) simple and semilattices of subsemigroups in terms of fuzzy ideals and fuzzy bi-ideals.
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ON PRIME FUZZY BI-IDEALS OF SEMIGROUPS
2010In this paper, we introduce and study the prime, strongly prime, semiprime and irreducible fuzzy bi-ideals of a semigroup. We characterize those semigroups for which each fuzzy bi-ideal is semiprime. We also characterize those semigroups for which each fuzzy bi-ideal is strongly prime.
Shabir, Muhammad +2 more
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Fuzzy Quasi-ideals and Fuzzy Bi-ideals in Semirings
2012The object of this chapter is to study fuzzy quasi-ideals and fuzzy bi-ideals and Section 1 provides a study of these ideals. Section 2 presents various characterizations of regular semirings involving these fuzzy ideals. In Section 3, we examine and characterize regular and intra regular semirings in this context. Section 4 provides a study of fuzzy k-
Javed Ahsan +2 more
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INTERVAL VALUED FUZZY ALMOST BI-IDEALS IN SEMIGROUPS
JP Journal of Algebra, Number Theory and Applications, 2019Summary: In this paper, we define interval valued fuzzy almost bi-ideals in semigroups and give some relationship between almost bi-ideals and interval valued fuzzy almost bi-ideals of semigroups.
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