Rough ideals in semigroups

Kuroki, Nobutaka

doi:10.1016/s0020-0255(96)00274-5

Cited by 202 publications

(96 citation statements)

References 3 publications

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“…Kuroki and Mordeson [28] discussed the structure of rough sets and rough groups. At that point in [29], Kuroki presented the thought of rough ideals in semigroup. Rough prime ideals and rough fuzzy prime ideals in semigroups were proposed by Xiao and Zhang [17].…”

Section: Introductionmentioning

confidence: 99%

Generalized Rough Fuzzy Ideals in Quantales

Qurashi

Shabir

2018

Discrete Dynamics in Nature and Society

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The paper examines the generalized rough fuzzy ideals of quantales. There are some intrinsic relations between fuzzy prime (primary) ideals of quantales and generalized rough fuzzy prime (primary) ideals of quantales. Homomorphic images of "generalized rough ideals, generalized rough prime (primary) ideals, and generalized rough fuzzy prime (primary) ideals" which are incited by quantale homomorphism are examined.

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Section: Introductionmentioning

confidence: 99%

Generalized Rough Fuzzy Ideals in Quantales

Qurashi

Shabir

2018

Discrete Dynamics in Nature and Society

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“…In addition, some properties of the lower and the upper approximations with respect to the normal subgroups were studied in [5,13,[26][27][28]. Also, Kuroki [12], introduced the notion of a rough ideal in a semigroup. Davvaz [6], introduced the notion of rough subring with respect to an ideal of a ring.…”

Section: Introductionmentioning

confidence: 99%

Near Ideals in Near Semigroups

Bağırmaz

2018

Eur. J. Pure Appl. Math.

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“…With the development of rough sets, some models of generalized rough sets were investigated, just as in [5,6]. Later, rough sets were also established over algebraic structures, such as in [7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

A study on soft rough semigroups and corresponding decision making applications

2017

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Abstract:In this paper, we study a kind of soft rough semigroups according to Shabir's idea. We define the upper and lower approximations of a subset of a semigroup. According to Zhan's idea over hemirings, we also define a kind of new C -soft sets and C C -soft sets over semigroups. In view of this theory, we investigate the soft rough ideals (prime ideals, bi-ideals, interior ideals, quasi-ideals, regular semigroups). Finally, we give two decision making methods: one is for looking a best a parameter which is to the nearest semigroup, the other is to choose a parameter which keeps the maximum regularity of regular semigroups.

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Rough ideals in semigroups

Cited by 202 publications

References 3 publications

Generalized Rough Fuzzy Ideals in Quantales

Generalized Rough Fuzzy Ideals in Quantales

Near Ideals in Near Semigroups

A study on soft rough semigroups and corresponding decision making applications

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