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Intra-regular Left Almost Semigroups Characterized by Their Anti Fuzzy Ideals

Madad Khan, Tauseef Asif, Faisal Faisal
2010 Journal of Mathematics Research  
In this paper, we have introduced anti fuzzy quasi-ideals, anti fuzzy bi-(generalized bi-) ideals and anti fuzzy left (right, two-sided) ideals in LA-semigroup.  ...  Further we have shown that anti fuzzy two-sided ideals, anti fuzzy bi-ideals, anti fuzzy generalized bi-ideals, anti fuzzy interior ideals and anti fuzzy quasi-ideals coincide in an intra-regular LA-semigroup  ...  In an LA-semigroup S , every anti fuzzy two sided ideal of S is an anti fuzzy quasi-ideal of S . Lemma 13.  ... 
doi:10.5539/jmr.v2n4p100 fatcat:qizuik6zargjblrvhlezzy3cci

Characterization of an intra-regular left almost semigroups by thier fuzzy ideals

Madad Khan, Tauseef Asif
2010 Journal of Mathematics Research  
In this paper we have introduced fuzzy quasi-ideal and fuzzy left(right, two-sided) ideals in LA-semigroup.  ...  We have proved some results related to fuzzy quasi-ideals and fuzzy left(right, two-sided) ideals of an LA-semigroup.  ...  In an LA-semigroup S , every fuzzy two sided ideal of S is a fuzzy quasi-ideal of S . Lemma 14.  ... 
doi:10.5539/jmr.v2n3p87 fatcat:ocwrty6ro5gqfh6jgnef3lmhg4

Fuzzy bipolar soft semiprime ideals in ordered semigroups

Aziz-ul-Hakim, H. Khan, I. Ahmad, A. Khan
2021 Heliyon  
In this paper, we introduce fuzzy bipolar soft semiprimality in the structure of ordered semigroups and investigate some properties of the concept.  ...  Finally, the Cartesian product of fuzzy bipolar soft semiprime (resp., prime) ideals over ordered semigroups is examined. Some of the ideas are supported by apt examples.  ...  This research did not receive any specific grant from funding agencies in the public, commercial, or not-for-profit sectors.  ... 
doi:10.1016/j.heliyon.2021.e06618 pmid:33912696 pmcid:PMC8063750 fatcat:4iv4vpq3hfexxchrn6srhhkyou

Fuzzy quasi-ideals with thresholds \((\alpha ,\beta ]\) in ordered semigroups

Raheela Manzoor, Asghar Khan, Faisal Yousafzai, Venus Amjad
2013 International Journal of Algebra and Statistics  
We establish some results on semiprime fuzzy quasi-ideals with thresholds (α, β] in ordered semigroups and characterize completely regular ordered semigroups in terms of semiprime fuzzy quasi-ideals with  ...  In this paper, we introduce the concept of fuzzy quasi-ideals with thresholds (α, β] in ordered semigroups.  ...  Furthermore, we define semiprime fuzzy quasi-ideals with thresholds and characterize completely regular ordered semigroups in terms of semiprime fuzzy quasi-ideals with thresholds (α, β] of an ordered  ... 
doi:10.20454/ijas.2013.690 fatcat:3b3dnfpv25dejfxxoicls3esqu

Generalized Fuzzy Quasi-Ideals in Ordered Semigroups

Raheela Manzoor, Asghar Khan
2012 International Journal of Algebra and Statistics  
In this paper, we introduce the concept of an (α, β)-fuzzy quasi-ideal in ordered semigroups, which is a generalization of fuzzy quasi-ideals in ordered semigroups.  ...  By using this concept, we define semiprime (∈, ∈ ∨q)-fuzzy quasi-ideals and some basic results of an ordered semigroup are discussed.  ...  We characterize regular ordered semigroups in terms of lower part of an ∈, ∈ ∨q -fuzzy quasi ideal, define semiprime (∈,∈ ∨q)-fuzzy quasi-ideals and characterize completely regular ordered semigroups in  ... 
doi:10.20454/ijas.2012.424 fatcat:gcw6koypavd7jgv6hvhultxyfi

Fuzzy magnified translation of the extension of fuzzy semiprime ideals in semigroups

T. Manikantan, S. Vijay Peter
2015 Applied Mathematical Sciences  
Using these kinds of fuzzy subsets, we obtain some results on fuzzy semiprime ideals of semigroups.  ...  In this paper, we introduce some new kind of fuzzy subsets of a semigroup by using fuzzy magnified translation, fuzzy translation, fuzzy multiplication and extension of a fuzzy subset.  ...  In our future work, we will concentrate to apply the results of this paper to other algebraic substructures such as fuzzy interior ideals, fuzzy bi-ideals and fuzzy quasi ideals of semigroups.  ... 
doi:10.12988/ams.2015.54321 fatcat:s7azuiog2zgqvmcnc65w5ltz4y

Intuitionistic fuzzy quasi-ideals of ordered semigroups

Asghar Khan, Muhammad Shabir, Young Bae Jun
2010 Russian Mathematics (Izvestiya VUZ. Matematika)  
In this paper we define intuitionistic fuzzy quasi-ideals of ordered semigroups. The main result of the paper is a characterization of quasi-ideals in terms of intuitionistic fuzzy quasi-ideals.  ...  We also characterize left simple, right simple, and completely regular ordered semigroups in terms of intuitionistic fuzzy quasi-ideals.  ...  Fuzzy semigroups were first considered by N. Kuroki in [2] [3] [4] , where he studied fuzzy quasi-ideals, fuzzy bi-ideals, and fuzzy semiprime ideals in semigroups. Later J.  ... 
doi:10.3103/s1066369x10120078 fatcat:rypn7x6fszdetgzgbd7picpmru

Characterizations of Ordered Semigroups by New Type of Interval Valued Fuzzy Quasi-Ideals

Jian Tang, Xiangyun Xie, Yanfeng Luo
2014 Journal of Applied Mathematics  
In addition, we also introduce the concepts of prime and completely semiprime interval valued(∈¯,∈¯∨qk~¯)-fuzzy quasi-ideals of ordered semigroups and characterize bi-regular ordered semigroups in terms  ...  of completely semiprime interval valued(∈¯,∈¯∨qk~¯)-fuzzy quasi-ideals.  ...  Furthermore, we introduce the notion of completely semiprime interval valued (∈, ∈ ∨̃)-fuzzy quasi-ideals of ordered semigroups and characterize biregular ordered semigroups in terms of completely semiprime  ... 
doi:10.1155/2014/867459 fatcat:mflq5zobl5fpbgekkrfw2toc4y

On the prime fuzzy m-bi ideals in semigroups

Mohammad Munir, Nasreen Kausar, Salahuddin, Tehreem
2020 Journal of Mathematics and Computer Science  
In this article, we build up the ideas of the fuzzy strongly prime, prime and semiprime m-bi ideals in a semigroup.  ...  We have demonstrated that a semigroup is m-regular and m-intraregular if and only if its very fuzzy m-bi ideal is a semiprime, likewise a subset of a semigroup is its m-bi ideal if and only if the characteristic  ...  In the following section, we study the semigroups in which each fuzzy m-bi ideal is semiprime or strongly prime. Proof.  ... 
doi:10.22436/jmcs.021.04.08 fatcat:lrbaqffhtba2fdjndchfuilihm

Interval-Valued Semiprime Fuzzy Ideals of Semigroups

Sukhendu Kar, Paltu Sarkar, Kostaq Hila
2014 Advances in Fuzzy Systems  
We study the interrelation among (i-v) prime fuzzy ideals, (i-v) semiprime fuzzy ideals, and (i-v) irreducible fuzzy ideals and characterize regular semigroups by using these (i-v) fuzzy ideals.  ...  We introduce the notion of (i-v) semiprime (irreducible) fuzzy ideals of semigroups and investigate its different algebraic properties.  ...  In [21] , Thillaigovindan and Chinnadurai introduced the notion of (i-v) fuzzy interior (quasi, bi) ideals of semigroup and studied their properties.  ... 
doi:10.1155/2014/842471 fatcat:f562d6cm45bmpketqal6txoxdi

Generalized Fuzzy Bi-Ideals of Order Right Modular Groupoids

Madad Khan, Muhammad Shakeel, Muhammad Gulistan, Sheikh Rashid
2015 International Journal of Algebra and Statistics  
In this paper we characterized Order Right Modular Groupoids by using the ∈, ∈ ∨q k −fuzzy (left, right, bi, generalized-bi, semiprime) Ideals.  ...  At the end we presented a characterization of intra-regular Order Right Modular Groupoids by using ∈, ∈ ∨q k −fuzzy (left, right, bi, generalized-bi, semiprime) ideals.  ...  The idea of quasi-coincidence of a fuzzy point with a fuzzy set is defined in [19] .  ... 
doi:10.20454/ijas.2015.982 fatcat:b2jvmvwl4vb6za5v3knens32ki

Fuzzy bi-ideals in ordered semigroups

N KEHAYOPULU, M TSINGELIS
2005 Information Sciences  
The results on ordered semigroups can be transferred to fuzzy ordered semigroups, and from the results on fuzzy ordered semigroups one can get the corresponding results on ordered semigroups in the way  ...  An ordered semigroup S is called left (resp. right) simple if there is no proper left (resp. right) ideals in S i.e. if A is a left (resp. right) ideal of S, then A = S.  ...  A is a left (right) ideal, bi-ideal, quasi-ideal, semiprime subset, prime subset of S, etc. if and only if f A is so.  ... 
doi:10.1016/j.ins.2004.03.015 fatcat:7okeahlxyvdfhaayfkjyqs3lei

An Innovative Approach towards Possibility Fuzzy Soft Ordered Semigroups for Ideals and Its Application

Habib, Garg, Nie, Khan
2019 Mathematics  
Finally, the notion of possibility fuzzy soft semiprime ideals in an ordered semigroup is defined and illustrated by theorems and example.  ...  The objective of this paper is put forward the novel concept of possibility fuzzy soft ideals and the possibility of fuzzy soft interior ideals.  ...  and possibility fuzzy soft interior ideals. (6) To introduce a novel concept of possibility fuzzy soft ordered semigroup in terms of semiprime ideals.  ... 
doi:10.3390/math7121183 fatcat:apcqhwkkpbfthat434iq6swyle

Page 2994 of Mathematical Reviews Vol. , Issue 99e [page]

1999 Mathematical Reviews  
Then, we obtain some relations between a fuzzy prime quasi-ideal and a prime fuzzy quasi-ideal in a commutative BCK-algebra (Propositions 4.1, 4.2, 4.3, 4.4 and 4.5).  ...  prime quasi-ideals in a commutative BCK-algebra.  ... 

Generalized Fuzzy Quasi-Ideals of an Intraregular Abel-Grassmann's Groupoid

Bijan Davvaz, Madad Khan, Saima Anis, Shamsul Haq
2012 Journal of Applied Mathematics  
We have introduced a new nonassociative class of Abel-Grassmann's groupoid, namely, intraregular and characterized it in terms of its(∈,∈∨q)-fuzzy quasi-ideals.  ...  In 8 regular semigroups are characterized by the properties of their ∈, ∈ ∨q -fuzzy ideals. In 9 semigroups are characterized by the properties of their ∈, ∈ ∨q -fuzzy ideals.  ...  Davvaz defined ∈, ∈ ∨q -fuzzy subnearrings and ideals of a near ring in 6 . Jun and Song initiated the study of α, β -fuzzy interior ideals of a semigroup in 7 .  ... 
doi:10.1155/2012/627075 fatcat:qa75dosb4fd7jmvzbfnpoixhpm
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