Soft semirings

Feng, Feng; Jun, Young Bae; Zhao, Xianzhong

doi:10.1016/j.camwa.2008.05.011

Cited by 528 publications

(268 citation statements)

References 24 publications

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“…The soft set theory has been applied to many different fields (see, for example, [1], [2], [4], [5], [7], [8], [11], [12], [13], [14], [15], [16], [22], [25], [27]). …”

Section: Preliminariesmentioning

confidence: 99%

On Soft Topological Spaces

Georgiou¹,

Megaritis²,

Petropoulos³

2013

Appl. Math. Inf. Sci.

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Abstract:The classical mathematical theories have their difficulties which are pointed out in [18] for the solution complicated problems in engineering and environment. To overcome these difficulties, Molodtsov [18] introduced the concept of soft set as a new mathematical tool. Furthermore, D. Pei and D. Miao [22] showed that soft sets are a class of special information systems. In [9] for the soft set theory: new definitions, examples, new classes of soft sets, and properties for mappings between different classes of soft sets are introduced and studied. Moreover, the theory of soft topological spaces is investigated. This paper continues the study of the theory of soft topological spaces and presents for this theory new definitions, characterizations, and results concerning separation axioms, convergence, Cartesian product, soft θ -topology, and soft θ -continuity.

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“…The soft set theory has been applied to many different fields (see, for example, [1], [2], [4], [5], [7], [8], [11], [12], [13], [14], [15], [16], [22], [25], [27]). …”

Section: Preliminariesmentioning

confidence: 99%

On Soft Topological Spaces

Georgiou¹,

Megaritis²,

Petropoulos³

2013

Appl. Math. Inf. Sci.

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“…The notion of fuzzy subgroup was introduced by A. Rosenfeld et.al [5], [10] in his pioneering paper. Many authors [2], [3], [6], [7], [8] applied the concept of fuzzy sets for studies in fuzzy semigroups, fuzzy groups, fuzzy rings, fuzzy ideals, fuzzy semirings and fuzzy near-rings and so on. In fact many basic properties in group theory are found to be carried over to fuzzy groups.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy subgroups on direct product of groups over a $t$-norm

Rasuli¹

2017

Journal of Fuzzy Set Valued Analysis

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“…They also discussed the notion of soft groups. After than, many algebraic properties of soft sets are studied (see [1,3,7,9,10,11,12,13,14,19,23]). …”

Section: Introductionmentioning

confidence: 99%