Characterizations of two kinds of hemirings based on probability spaces

Zhan, Jianming; Yu, Bin; Fotea, Violeta-Elena

doi:10.1007/s00500-014-1528-x

Cited by 26 publications

(5 citation statements)

References 23 publications

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“…Maji et al [30] presented some definitions on soft sets and based on the analysis of several operations on soft sets Ali et al [12] introduced several operations of soft sets and Sezgin and Atagün [36] and Ali et al [13] studied on soft set operations as well. Soft set theory have found its wide-ranging applications in the mean of algebraic structures such as groups [11,37], semirings [18], rings [9], BCK/BCI-algebras [24,25,26], BL-algebras [42], near-rings [35] and soft substructures and union soft substructures [14,38], hemirings [29,43] and so on [18,19,21].…”

Section: Introductionmentioning

confidence: 99%

Analysis of semigroups with soft intersection ideals

Sezgin

Orbay

2022

Acta Universitatis Sapientiae, Mathematica

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In this paper, semisimple semigroups, duo semigroups, right (left) zero semigroups, right (left) simple semigroups, semilattice of left (right) simple semigroups, semilattice of left (right) groups and semilattice of groups are characterized in terms of soft intersection semigroups, soft intersection ideals of semigroups. Moreover, soft normal semigroups are defined and some characterizations of semigroups with soft normality are given.

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Section: Introductionmentioning

confidence: 99%

Analysis of semigroups with soft intersection ideals

Sezgin

Orbay

2022

Acta Universitatis Sapientiae, Mathematica

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“…Based on this reason, they replaced equivalence classes to some other models, for examples, [18,20,23,34,46,47]. In recent times, lots of researchers are interested to generalize this theory in many fields of applications [30,36,52,54]. The concept of topology shows up naturally in almost every branch of mathematics [19,33,40,44].…”

Section: Introductionmentioning

confidence: 99%

Topological approach for rough sets by using J-nearly concepts via ideals

Hosny

2020

Filomat

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Topological concepts and methods have been applied as useful tools to study computer science, information systems and rough set. Rough set was introduced by Pawlak. Its core concept is upper and lower approximation operations, which are the operations induced by an equivalent relation on a domain. They can also be seen as a closure operator and a interior operator of the topology induced by an equivalent relation on a domain. This paper explores rough set theory from the point of view of topology. I generalize the notions of rough sets based on the topological space. The set approximations are defined by using the new topological notions namely I-J-nearly open sets. The topological properties of the present approximations are introduced and compared to the previous one and shown to be more general.

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“…Based on the above reason, Zhan and Zhu provided a novel concept of soft rough fuzzy sets, which is called a -soft rough fuzzy set [40]. As reported in [41,42], characterizations of two kinds of hemirings based on probability spaces and reviews on decision making methods based on (fuzzy) soft sets and rough soft sets are discussed, respectively.…”

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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Characterizations of two kinds of hemirings based on probability spaces

Cited by 26 publications

References 23 publications

Analysis of semigroups with soft intersection ideals

Analysis of semigroups with soft intersection ideals

Topological approach for rough sets by using J-nearly concepts via ideals

Generalized Rough Fuzzy Ideals in Quantales

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