Hesitant Bipolar-Valued Fuzzy Soft Sets and Their Application in Decision Making

Wang, Jinying; Wang, Yanping; Liu, Lei

doi:10.1155/2020/6496030

Cited by 10 publications

(9 citation statements)

References 38 publications

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“…According to Dubois and Prade [28], our decision-making is built upon two sides, positive and negative, and we choose based on which is more powerful. Some definitions, operations, and applications on bipolar soft sets were studied in [29][30][31][32]. e notion of bipolar soft topological spaces over an ordinary set was first introduced by Shabir and Bakhtawar [33], along with studies into bipolar soft connectedness and bipolar soft compactness.…”

Section: Introductionmentioning

confidence: 99%

Topological Structures via Bipolar Hypersoft Sets

Musa

Asaad

2022

Journal of Mathematics

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In this article, we introduce bipolar hypersoft topological spaces over the collection of bipolar hypersoft sets. It is proven that a bipolar hypersoft topological space gives a parametrized family of hypersoft topological spaces, but the converse does not hold in general, and this is shown with the help of an example. Furthermore, we give a condition on a given parametrized family of hypersoft topologies, which assure that there is a bipolar hypersoft topology whose induced family of hypersoft topologies is the given family. The notions of bipolar hypersoft neighborhood, bipolar hypersoft subspace, and bipolar hypersoft limit points are introduced. Finally, we define bipolar hypersoft interior, bipolar hypersoft closure, bipolar hypersoft exterior, and bipolar hypersoft boundary, and the relations between them, differing from the relations on hypersoft topology, are investigated.

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Section: Introductionmentioning

confidence: 99%

Topological Structures via Bipolar Hypersoft Sets

Musa

Asaad

2022

Journal of Mathematics

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“…Likewise, for the demonstration of the notion of soft topological spaces, the soft sets were also, C ¸aǧman [15]. This was followed by a excess of researches that tackled the soft topological spaces (see [2], [3], [4], [5], [6], [7], [8], [10], [11], [12], [18], [19], [22], [23], [25], [26], [33], [38], [40]).…”

Section: Introductionmentioning

confidence: 99%

“…Based on Dubois and Prada [18], decision making is constructed on two sides, namely negative and positive. A number of definitions, operations, and applications on bipolar soft sets have been investigated in ( [4], [22], [23], [40]). Added to that, Öztürk [31] studied the concepts of closure and interior operations, basis and subspace in bipolar soft topological spaces.…”

Section: Introductionmentioning

confidence: 99%

Bipolar Soft Generalized Topological Structures and Their Application in Decision Making

Saleh

Asaad²,

Mohammed

2022

Eur. J. Pure Appl. Math.

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The basic of bipolar soft set theory stands for a mathematical instrument that bringstogether the soft set theory and bipolarity. Its definition is based on two soft sets, a set thatprovides positive information and other that gives negative. This paper mainly aims at defininga new bipolar soft generalized topological space; setting out of the point that the collection ofbipolar soft sets forms the basis for the definition of the new concept is defined. Added to that,an investigation has been made of the four concepts of bipolar soft generalized, namely g-interior,g-closure, g-exterior and g-boundary. Furthermore, the main properties of bipolar soft generalizedtopological space (BSGT S) are established. This paper also attends to the discussion of therelations between these new definitions and the application of the given bipolar soft generalizedtopological spaces in a decision-making problem where an algorithm for this application has beensuggested. Finally, to clarify and substantiate what the current work subsumes, some exampleshave been provided.

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“…Malik and Shabir [22] successfully applied rough fuzzy bipolar soft sets in decision-making problems. Many more authors have auspiciously adapted bipolar soft set theory in various fields (see , Zhang [27], Ali et al [28], Al-shami [29], Mahmood [30], Wang et al [31], Ali et al [32], Kamacı and Petchimuthu [33] and Lee and Hur [34]).…”

Section: Introductionmentioning

confidence: 99%

Bipolar Hypersoft Sets

Musa

Asaad

2021

Mathematics

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Hypersoft set theory is an extension of soft set theory and is a new mathematical tool for dealing with fuzzy problems; however, it still suffers from the parametric tools’ inadequacies. In order to boost decision-making accuracy even more, a new mixed mathematical model called the bipolar hypersoft set is created by merging hypersoft sets and bipolarity. It is characterized by two hypersoft sets, one of which provides positive information and the other provides negative information. Moreover, some fundamental properties relative to it such as subset, superset, equal set, complement, difference, relative (absolute) null set and relative (absolute) whole set are defined. Furthermore, some set-theoretic operations such as the extended intersection, the restricted union, intersection, union, AND-operation and OR-operation of two bipolar hypersoft sets with their properties are discussed and supported by examples. Finally, tabular representations for the purposes of storing bipolar hypersoft sets in computer memory are used.

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Hesitant Bipolar-Valued Fuzzy Soft Sets and Their Application in Decision Making

Cited by 10 publications

References 38 publications

Topological Structures via Bipolar Hypersoft Sets

Topological Structures via Bipolar Hypersoft Sets

Bipolar Soft Generalized Topological Structures and Their Application in Decision Making

Bipolar Hypersoft Sets

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