Paper Info
Title
Characterizations of Ordered Semigroups by New Type of Interval Valued Fuzzy Quasi-Ideals.
Abstract
The concept of non-k-quasi-coincidence of an interval valued ordered fuzzy point with an interval valued fuzzy set is considered. In fact, this concept is a generalized concept of the non-k-quasi-coincidence of a fuzzy point with a fuzzy set. By using this new concept, we introduce the notion of interval valued ((epsilon) over bar, (epsilon) over bar V (q) over bar ((k) over bar) )-fuzzy quasi-ideals of ordered semigroups and study their related properties. In addition, we also introduce the concepts of prime and completely semiprime interval valued ((epsilon) over bar, (epsilon) over bar V (q) over bar ((k) over bar))-fuzzy quasi-ideals of ordered semigroups and characterize bi-regular ordered semigroups in terms of completely semiprime interval valued ((epsilon) over bar, (epsilon) over bar V (q) over bar ((k) over bar))-fuzzy quasi-ideals. Furthermore, some new characterizations of regular and intra-regular ordered semigroups by the properties of interval valued ((epsilon) over bar, (epsilon) over bar V (q) over bar ((k) over bar))-fuzzy quasi-ideals are given.
Year
DOI
Venue
2014
10.1155/2014/867459
JOURNAL OF APPLIED MATHEMATICS
Field
DocType
Volume
Prime (order theory),Semiprime,Fuzzy classification,Mathematical analysis,Fuzzy logic,Fuzzy mathematics,Fuzzy set,Special classes of semigroups,Fuzzy number,Mathematics
Journal
2014
ISSN
Citations 
PageRank 
1110-757X
0
0.34
References 
Authors
15
3
Name
Order
Citations
PageRank
Jian Tang1141.06
Xiang-Yun Xie200.68
Yanfeng Luo300.68