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Relevant bibliographies by topics / Fuzzy left (right) zero semigroup

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Academic literature on the topic 'Fuzzy left (right) zero semigroup'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Fuzzy left (right) zero semigroup"

1

A., M. Aminpour, and Seilani M. "Minimal Ideals and Minimal Idempotents in Some Compact Semigroups." Journal of Academic and Applied Studies 3, no. 9 (2013): 64. https://doi.org/10.5281/zenodo.1059032.

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Abstract In this paper we present an important new results for study of fuzzy semigroups (both algebric and topological), in particular, fuzzy compact right topological semigroups. Principal result are that every fuzzy compact Hausdorff right topological semigroup S&tilde; contains at least one minimal idempotent [theorem 4.1] and every fuzzy left (resp. fuzzy right) ideal contains a fuzzy minimal left (resp. right) ideal [corollary 4.2]. Mathematical Society Classification: 2010 MSC.18340.

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2

Khan, Madad, Feng Feng, and M. Nouman Aslam Khan. "On Minimal Fuzzy Ideals of Semigroups." Journal of Mathematics 2013 (2013): 1–5. http://dx.doi.org/10.1155/2013/475190.

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The present paper contains the sufficient condition of a fuzzy semigroup to be a fuzzy group using fuzzy points. The existence of a fuzzy kernel in semigroup is explored. It has been shown that every fuzzy ideal of a semigroup contains every minimal fuzzy left and every minimal fuzzy right ideal of semigroup. The fuzzy kernel is the class sum of minimal fuzzy left (right) ideals of a semigroup. Every fuzzy left ideal of a fuzzy kernel is also a fuzzy left ideal of a semigroup. It has been shown that the product of minimal fuzzy left ideal and minimal fuzzy right ideal of a semigroup forms a gr

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3

K.V.Naga Lakshmi, N.Srimannarayana, Srinivas Telikepalli, A. Gangadhara Rao,. "Fuzzy Simple Partially Ordered Γ- Semigroups". Turkish Journal of Computer and Mathematics Education (TURCOMAT) 12, № 5 (2021): 842–45. http://dx.doi.org/10.17762/turcomat.v12i5.1492.

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In this paper, it is shown that and are respectively fuzzy left and fuzzy right ideals of S. S is a fuzzy left(right) simple po- Γ -semigroup ( ) .  It is proved that for any semi group S “TFAE” (1) S is left(right) simple po- Γ -semigroup. (2) S is a fuzzy left(right)simple Γ-semigroup.  The union of all proper fuzzy ideals of S is the only fuzzy maximal ideal of S ,where S is a PO -Γ-Semigroupwith 'e', unity.

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4

Abbasi, Mohammad Y., Aakif F. Talee, Sabahat A. Khan та Kostaq Hila. "A Hesitant Fuzzy Set Approach to Ideal Theory in Γ-Semigroups". Advances in Fuzzy Systems 2018 (2 вересня 2018): 1–6. http://dx.doi.org/10.1155/2018/5738024.

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We apply the hesitant fuzzy sets theory to Γ-semigroups and provide some characterizations of hesitant fuzzy left (right and bi-) ideals. We introduce the hesitant fuzzy left (resp., right and two-sided) ideal, hesitant fuzzy bi-ideal, and hesitant fuzzy interior ideal in Γ-semigroup and study some properties of them. Finally, a characterization of a simple Γ-semigroup by means of a hesitant fuzzy simple Γ-semigroup is obtained.

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5

Rehman, Ubaid Ur, Tahir Mahmood, and Muhammad Naeem. "Bipolar complex fuzzy semigroups." AIMS Mathematics 8, no. 2 (2022): 3997–4021. http://dx.doi.org/10.3934/math.2023200.

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<abstract> <p>The notion of the bipolar complex fuzzy set (BCFS) is a fundamental notion to be considered for tackling tricky and intricate information. Here, in this study, we want to expand the notion of BCFS by giving a general algebraic structure for tackling bipolar complex fuzzy (BCF) data by fusing the conception of BCFS and semigroup. Firstly, we investigate the bipolar complex fuzzy (BCF) sub-semigroups, BCF left ideal (BCFLI), BCF right ideal (BCFRI), BCF two-sided ideal (BCFTSI) over semigroups. We also introduce bipolar complex characteristic function, positive $ \left(

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6

Asaad, Samah H., and Akram S. Mohammed. "New Properties of Anti Fuzzy Ideals of Regular Semigroups." Ibn AL-Haitham Journal For Pure and Applied Sciences 32, no. 3 (2019): 109–16. http://dx.doi.org/10.30526/32.3.2287.

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In this article, we study some properties of anti-fuzzy sub-semigroup, anti fuzzy left (right, two sided) ideal, anti fuzzy ideal, anti fuzzy generalized bi-ideal, anti fuzzy interior ideals and anti fuzzy two sided ideal of regular semigroup. Also, we characterized regular LA-semigroup in terms of their anti fuzzy ideal.

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7

MALTCEV, VICTOR. "CAYLEY AUTOMATON SEMIGROUPS." International Journal of Algebra and Computation 19, no. 01 (2009): 79–95. http://dx.doi.org/10.1142/s021819670900497x.

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In this paper we characterize when a Cayley automaton semigroup is finite, is free, is a left zero semigroup, is a right zero semigroup, is a group, or is trivial. We also introduce dual Cayley automaton semigroups and discuss when they are finite.

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8

Khan, Faiz Muhammad, Nie Yufeng, Hidayat Ullah Khan та Bakht Muhammad Khan. "Ordered Semigroups Based on ∈,∈∨qkδ-Fuzzy Ideals". Advances in Fuzzy Systems 2018 (10 червня 2018): 1–10. http://dx.doi.org/10.1155/2018/5304514.

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A new trend of using fuzzy algebraic structures in various applied sciences is becoming a central focus due to the accuracy and nondecoding nature. The aim of the present paper is to develop a new type of fuzzy subsystem of an ordered semigroup S. This new type of fuzzy subsystem will overcome the difficulties faced in fuzzy ideal theory of an ordered semigroup up to some extent. More precisely, we introduce ∈,∈∨qkδ-fuzzy left (resp., right, quasi-) ideals of S. These concepts are elaborated through appropriate examples. Further, we are bridging ordinary ideals and ∈,∈∨qkδ-fuzzy ideals of an o

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9

Habib, Sana, Harish Garg, Yufeng Nie, and Faiz Muhammad Khan. "An Innovative Approach towards Possibility Fuzzy Soft Ordered Semigroups for Ideals and Its Application." Mathematics 7, no. 12 (2019): 1183. http://dx.doi.org/10.3390/math7121183.

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The objective of this paper is put forward the novel concept of possibility fuzzy soft ideals and the possibility of fuzzy soft interior ideals. The various results in the form of the theorems with these notions are presented and further validated by suitable examples. In modern life decision-making problems, there is a wide applicability of the possibility fuzzy soft ordered semigroup which has also been constructed in the paper to solve the decision-making process. Elementary and fundamental concepts including regular, intra-regular and simple ordered semigroups in terms of possibility fuzzy

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10

Sanpan, Hataikhan, Pakorn Palakawong na Ayutthaya, and Somsak Lekkoksung. "On (m, n)-Fuzzy Sets and Their Application in Ordered Semigroups." International Journal of Analysis and Applications 23 (April 14, 2025): 90. https://doi.org/10.28924/2291-8639-23-2025-90.

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In this paper, we introduce the concepts of (m, n)-fuzzy subsemigroups, (m, n)-fuzzy left (right, two-sided, bi-, (1, 2)-) ideals of an ordered semigroup and some their algebraic properties are studied, thereafter the relationship among their (m, n)-fuzzy ideals was investigated. Moreover, we characterize left (resp., right, two-sided, bi-) ideals by using (m, n)-fuzzy left (resp., right, two-sided, bi-) ideals. Finally, we characterize regular ordered semigroups and intra-regular ordered semigroups in terms of (m, n)-fuzzy left ideals, (m, n)-fuzzy right ideals, and (m, n)-fuzzy bi-ideals.

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