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A new approach to bipolar soft sets and its applications

Faruk Karaaslan

Department of Mathematics, Çankırı Karatekin University, Çankırı 18100, Turkey

E-mail Address: fkaraaslan@karatekin.edu.tr

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and

Serkan Karataş

Department of Mathematics, Ordu University, Ordu 52000, Turkey

E-mail Address: serkankaratas@odu.edu.tr

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https://doi.org/10.1142/S1793830915500548Cited by:46 (Source: Crossref)

Abstract

Molodtsov [Soft set theory-first results, Comput. Math. App.37 (1999) 19–31] proposed the concept of soft set theory in 1999, which can be used as a mathematical tool for dealing with problems that contain uncertainty. Shabir and Naz [On bipolar soft sets, preprint (2013), arXiv:1303.1344v1 [math.LO]] defined notion of bipolar soft set in 2013. In this paper, we redefine concept of bipolar soft set and bipolar soft set operations as more functional than Shabir and Naz’s definition and operations. Also we study on their basic properties and we present a decision making method with application.

Keywords:

AMSC: 03C55, 03E20, 03E75

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