Soft intersection near-rings with its applications

Sezgin, Aslıhan; Atagün, Akın Osman; Çağman, Nai̇m

doi:10.1007/s00521-011-0782-4

Cited by 35 publications

(18 citation statements)

References 23 publications

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“…Since then, several researchers conducted the researches on the properties of soft ordered semigroups, and obtained some important results. For more details, the reader is referred to [16][17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Right Pure Uni-Soft Ideals of Ordered Semigroups

Khan¹,

Khan²,

Khan³

et al. 2018

Matrix sci. math.

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In this paper, we initiate the study of pure uni-soft ideals in ordered semigroups. The soft version of right pure ideals in ordered semigroups is considered which is an extension of the concept of right pure ideal in ordered semigroups. We also give the main result for right pure uni-soft ideals in ordered semigroups and characterize right weakly regular ordered semigroups in terms of right pure uni-soft ideals.

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Section: Introductionmentioning

confidence: 99%

Right Pure Uni-Soft Ideals of Ordered Semigroups

Khan¹,

Khan²,

Khan³

et al. 2018

Matrix sci. math.

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“…agman et al considered two types of notions of a soft set with group, which is called group Soft intersection group soft union groups of a group [20]. see [14].…”

Section: Introductionmentioning

confidence: 99%

Bipolar fuzzy soft sets and its applications in decision making problem

Abdullah

Aslam

Ullah

2014

Journal of Intelligent &Amp; Fuzzy Systems

128

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In this article, we combine the concept of a bipolar fuzzy set and a soft set. We introduce the notion of bipolar fuzzy soft set and study fundamental properties. We study basic operations on bipolar fuzzy soft set. We define extended union, intersection of two bipolar fuzzy soft set. We also give an application of bipolar fuzzy soft set into decision making problem. We give a general algorithm to solve decision making problems by using bipolar fuzzy soft set.

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“…Recently, Ç aǧman and Sezgin discussed some important properties on soft intersection groups and soft intersection near-rings, see [9,30]. By this new idea, Ma et al [24] introduced the concepts of soft SI-hemirings (SI-h-ideals) and investigated some related properties.…”

Section: Introductionmentioning

confidence: 99%

Applications of a new soft set to h-hemiregular hemirings via (M,N)-SI-h-ideals

Zhan

2014

Journal of Intelligent &Amp; Fuzzy Systems

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The aim of this paper is to lay a foundation for providing a soft algebraic tool in considering many problems that contain uncertainties. In order to provide these soft algebraic structures, we introduce the concepts of (M, N)-SI-hemirings ((M, N)-SIh-ideals) of hemirings, which are generalizations of SI-hemirings (SI-h-ideals). By soft union-intersection sums (products), some related properties are discussed. Special attention is paid to quotient soft hemirings. Finally, we investigate some characterizations of h-hemiregular hemirings by means of (M, N)-SI-h-ideals.

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Soft intersection near-rings with its applications

Cited by 35 publications

References 23 publications

Right Pure Uni-Soft Ideals of Ordered Semigroups

Right Pure Uni-Soft Ideals of Ordered Semigroups

Bipolar fuzzy soft sets and its applications in decision making problem

Applications of a new soft set to h-hemiregular hemirings via (M,N)-SI-h-ideals

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