IJPAM: Volume 105, No. 3 (2015)
SOFT SETS AND -FUZZY SOFT SETS
Department of Mathematics
52200, Ordu, TURKEY
Abstract. This paper aims to extend the notion of group to inside the algebraic structures of -fuzzy soft sets. We firstly give some new notions such as product, extended product, restricted product of two -fuzzy soft sets. By using these new notions we then introduce concept of -fuzzy soft groups and study some of their properties. We also compare -fuzzy soft groups to the related concept of soft groups. Furthermore, we show that -fuzzy soft groups are more general concept than soft groups. We finally define -fuzzy soft function and -fuzzy soft group homomorphism, and then give theorem of homomorphic image and homomorphic pre-image under a -fuzzy soft function.
Received: October 2, 2015
AMS Subject Classification: 08A72, 20N25
Key Words and Phrases: -fuzzy subsets, soft sets, soft groups, -fuzzy soft sets, -fuzzy soft groups
Download paper from here.
DOI: 10.12732/ijpam.v105i3.14 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 459 - 475
-FUZZY SOFT SETS%22&as_occt=any&as_epq=&as_oq=&as_eq=&as_publication=&as_ylo=&as_yhi=&as_sdtAAP=1&as_sdtp=1" title="Click to search Google Scholar for this entry" rel="nofollow">Google Scholar; DOI (International DOI Foundation); WorldCAT.