Interval-Valued Vague Soft Sets and Its Application. (14th August 2012)

• Record Type: Journal Article
• Authors: Alhazaymeh, Khaleed; Hassan, Nasruddin
• Other Names: Kilic Kemal Academic Editor.
• Is Part Of: Advances in fuzzy systems. Volume 2012(2012)
• Publication Date: 2012-08-14
• Subjects: Fuzzy systems -- Periodicals; Systèmes flous; Fuzzy systems; Periodicals; 511.313
• DOI: 10.1155/2012/208489
• Languages: English
• ISSNs: 1687-7101

Abstract

Abstract : Molodtsov has introduced the concept of soft sets and the application of soft sets in decision making and medical diagnosis problems. The basic properties of vague soft sets are presented. In this paper, we introduce the concept of interval-valued vague soft sets which are an extension of the soft set and its operations such as equality, subset, intersection, union, AND operation, OR operation, complement, and null while further studying some properties. We give examples for these concepts, and we give a number of applications on interval-valued vague soft sets.