DocumentCode
670206
Title
On additivity of the weighted possibilistic mean operator
Author
Coroianu, Lucian ; Fuller, Robert
Author_Institution
Dept. of Math. & Inf., Univ. of Oradea, Oradea, Romania
fYear
2013
fDate
19-21 Nov. 2013
Firstpage
303
Lastpage
308
Abstract
In this paper we study the problem of additivity property of the weighted possibilistic mean operator for interactive fuzzy numbers. We will show that the weighted possibilistic mean operator is additive on the set of symmetric fuzzy numbers if their joint possibility distribution is defined by a t-norm. We will also show some results for general joint-possibility-distribution-based additions of fuzzy numbers of symmetrical opposite sides.
Keywords
fuzzy set theory; mathematical operators; possibility theory; statistical distributions; additivity property; general joint-possibility-distribution-based additions; interactive fuzzy numbers; symmetric fuzzy number set; symmetrical opposite sided fuzzy numbers; t-norm; weighted possibilistic mean operator; Cognition; Computational intelligence; Educational institutions; Equations; Informatics; Joints;
fLanguage
English
Publisher
ieee
Conference_Titel
Computational Intelligence and Informatics (CINTI), 2013 IEEE 14th International Symposium on
Conference_Location
Budapest
Print_ISBN
978-1-4799-0194-4
Type
conf
DOI
10.1109/CINTI.2013.6705211
Filename
6705211
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