m -Polar Fuzzy Sets: An Extension of Bipolar Fuzzy Sets
Joint Authors
Wang, X.-P.
Chen, Juanjuan
Li, Shenggang
Ma, Shengquan
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-12
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
Recently, bipolar fuzzy sets have been studied and applied a bit enthusiastically and a bit increasingly.
In this paper we prove that bipolar fuzzy sets and 0,1 2 -sets (which have been deeply studied) are actually cryptomorphic mathematical notions.
Since researches or modelings on real world problems often involve multi-agent, multi-attribute, multi-object, multi-index, multi-polar information, uncertainty, or/and limit process, we put forward (or highlight) the notion of m -polar fuzzy set (actually, 0,1 m -set which can be seen as a generalization of bipolar fuzzy set, where m is an arbitrary ordinal number) and illustrate how many concepts have been defined based on bipolar fuzzy sets and many results which are related to these concepts can be generalized to the case of m -polar fuzzy sets.
We also give examples to show how to apply m -polar fuzzy sets in real world problems.
American Psychological Association (APA)
Chen, Juanjuan& Li, Shenggang& Ma, Shengquan& Wang, X.-P.. 2014. m -Polar Fuzzy Sets: An Extension of Bipolar Fuzzy Sets. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1049542
Modern Language Association (MLA)
Chen, Juanjuan…[et al.]. m -Polar Fuzzy Sets: An Extension of Bipolar Fuzzy Sets. The Scientific World Journal No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1049542
American Medical Association (AMA)
Chen, Juanjuan& Li, Shenggang& Ma, Shengquan& Wang, X.-P.. m -Polar Fuzzy Sets: An Extension of Bipolar Fuzzy Sets. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1049542
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1049542