# Interval-valued vague soft sets and its application

Khaleed Alhazaymeh, Nasruddin Hassan

Research output: Contribution to journalArticle

38 Citations (Scopus)

### 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.

Original language English 208489 Advances in Fuzzy Systems https://doi.org/10.1155/2012/208489 Published - 2012

Vague Set
Soft Set
Interval
Decision making
Null
Equality
Union
Complement
Intersection
Decision Making
Subset
Concepts

### ASJC Scopus subject areas

• Control and Systems Engineering
• Computational Mathematics
• Control and Optimization

### Cite this

Interval-valued vague soft sets and its application. / Alhazaymeh, Khaleed; Hassan, Nasruddin.

In: Advances in Fuzzy Systems, 2012.

Research output: Contribution to journalArticle

Alhazaymeh, Khaleed ; Hassan, Nasruddin. / Interval-valued vague soft sets and its application. In: Advances in Fuzzy Systems. 2012.
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