# Fuzzy soft multiset theory

Shawkat Alkhazaleh, Abdul Razak Salleh

Research output: Contribution to journalArticle

23 Citations (Scopus)

### Abstract

In 1999 Molodtsov introduced the concept of soft set theory as a general mathematical tool for dealing with uncertainty. Alkhazaleh et al. in 2011 introduced the definition of a soft multiset as a generalization of Molodtsov's soft set. In this paper we give the definition of fuzzy soft multiset as a combination of soft multiset and fuzzy set and study its properties and operations. We give examples for these concepts. Basic properties of the operations are also given. An application of this theory in decision-making problems is shown.

Original language English 350603 Abstract and Applied Analysis 2012 https://doi.org/10.1155/2012/350603 Published - 2012

Multiset
Fuzzy sets
Set theory
Soft Set
Decision making
Set Theory
Fuzzy Sets
Decision Making
Uncertainty
Concepts

### ASJC Scopus subject areas

• Analysis
• Applied Mathematics

### Cite this

Alkhazaleh, S., & Salleh, A. R. (2012). Fuzzy soft multiset theory. Abstract and Applied Analysis, 2012, [350603]. https://doi.org/10.1155/2012/350603

Fuzzy soft multiset theory. / Alkhazaleh, Shawkat; Salleh, Abdul Razak.

In: Abstract and Applied Analysis, Vol. 2012, 350603, 2012.

Research output: Contribution to journalArticle

Alkhazaleh, Shawkat ; Salleh, Abdul Razak. / Fuzzy soft multiset theory. In: Abstract and Applied Analysis. 2012 ; Vol. 2012.
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