Soft sets and soft groups

Aktaş, Hacı; Çağman, Nai̇m

doi:10.1016/j.ins.2006.12.008

Cited by 916 publications

(545 citation statements)

References 22 publications

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“…Feng [7] worked the application of soft rough approximations in multicriteria group decision-making problems. In [3], Aktaş and Ç agman studied the basic concepts of soft set theory, compared soft sets to fuzzy and rough sets providing examples to clarify their differences and discussed the notion of soft groups. Jun [10] introduced the notion of soft BCK/BCI-algebras and derived their basic properties.…”

Section: Introductionmentioning

confidence: 99%

On soft filters of soft BE-algebras

Çeven¹,

Çiloğlu²

2018

ntmsci

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Section: Introductionmentioning

confidence: 99%

On soft filters of soft BE-algebras

Çeven¹,

Çiloğlu²

2018

ntmsci

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“…By the arise of the theory its algebraic [8] [9] and topological [10] [11] properties, its relation with other theories [12]- [14], and also implicational feature of the theory [15]- [18] have been studied intensively. We refer [19] to the interested readers for soft set theoretical analogues of the basic set operations.…”

Section: Introductionmentioning

confidence: 99%

Soft Vibrational Force on Stock Market Networks

Balcı¹,

Akgüller²

2016

OALib

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Stock market networks commonly involve uncertainty, and the theory of soft sets emerges as a powerful tool to handle it. In this study, we present a soft analogue of the differential of a vibrational potential function acting on a stock market network as vibrational force. For this purpose, we first study the vibrational potential function operating on each vertex by using the Laplacian of the neighborhood graph, then applied the soft approximator for the soft sets where the data points are embedded to Euclidean n space. We used the data of the globally operating leading stock markets of 17 countries and presented the results respect to them.

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“…After presentation of the operations of soft sets [20], the properties and applications of soft set theory have been studied increasingly [4,16,23,25]. In recent years, many interesting applications of soft set theory have been expanded by embedding the ideas of fuzzy sets [1,3,6,18,19,20,21,23,24,32]. To develop soft set theory, the operations of the soft sets are redefined and a uni-int decision making method was constructed by using these new operations [7].…”

Section: Introductionmentioning

confidence: 99%

Supra Generalized Closed Soft Sets with Respect to an Soft Ideal in Supra Soft Topological Spaces

Kandil¹,

Tantawy²,

El-Sheikh³

et al. 2014

Appl. Math. Inf. Sci.

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Abstract:The concept of soft ideal was first introduced by Kandil et al. [13]. In 1999, Molodtsov [22] introduced the concept of soft sets as a general mathematical tool for dealing with uncertain objects. The concept of generalized closed soft sets in soft topological spaces was introduced by Kannan [15] in 2012. The notions of supra soft topological space were first introduced by Kandil et al. [14]. In this paper, we introduce the concept of supra generalized closed soft sets(supra g-closed soft for short) in a supra topological space (X, µ, E) and study their properties in detail. Also, we introduce the concept of supra generalized closed soft sets with respect to a soft ideal (supra-Ĩg-closed soft for short) in a supra topological space (X, µ, E) and study their properties in detail, which is the extension of the concept of supra generalized closed soft sets.

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Soft sets and soft groups

Cited by 916 publications

References 22 publications

On soft filters of soft BE-algebras

On soft filters of soft BE-algebras

Soft Vibrational Force on Stock Market Networks

Supra Generalized Closed Soft Sets with Respect to an Soft Ideal in Supra Soft Topological Spaces

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