Characterizations of Ordered Semigroups by New Type of Interval Valued Fuzzy Quasi-Ideals
Joint Authors
Luo, Yanfeng
Xie, Xiangyun
Tang, Jian
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-25
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
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 (∈¯,∈¯∨qk~¯)-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 (∈¯,∈¯∨qk~¯)-fuzzy quasi-ideals of ordered semigroups and characterize bi-regular ordered semigroups in terms of completely semiprime interval valued (∈¯,∈¯∨qk~¯)-fuzzy quasi-ideals.
Furthermore, some new characterizations of regular and intra-regular ordered semigroups by the properties of interval valued (∈¯,∈¯∨qk~¯)-fuzzy quasi-ideals are given.
American Psychological Association (APA)
Tang, Jian& Xie, Xiangyun& Luo, Yanfeng. 2014. Characterizations of Ordered Semigroups by New Type of Interval Valued Fuzzy Quasi-Ideals. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-504667
Modern Language Association (MLA)
Tang, Jian…[et al.]. Characterizations of Ordered Semigroups by New Type of Interval Valued Fuzzy Quasi-Ideals. Journal of Applied Mathematics No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-504667
American Medical Association (AMA)
Tang, Jian& Xie, Xiangyun& Luo, Yanfeng. Characterizations of Ordered Semigroups by New Type of Interval Valued Fuzzy Quasi-Ideals. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-504667
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-504667