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Intra-regular Left Almost Semigroups Characterized by Their Anti Fuzzy Ideals
2010
Journal of Mathematics Research
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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
2010
Journal of Mathematics Research
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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
2021
Heliyon
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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
2013
International Journal of Algebra and Statistics
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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
2012
International Journal of Algebra and Statistics
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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
2015
Applied Mathematical Sciences
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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
2010
Russian Mathematics (Izvestiya VUZ. Matematika)
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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
2014
Journal of Applied Mathematics
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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
2020
Journal of Mathematics and Computer Science
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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
2014
Advances in Fuzzy Systems
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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
2015
International Journal of Algebra and Statistics
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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
2005
Information Sciences
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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
2019
Mathematics
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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
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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
2012
Journal of Applied Mathematics
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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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