On possible and necessary inclusion of intuitionistic fuzzy sets

Przemysław Grzegorzewski

Abstract

The problem of measuring the degree of inclusion for two intuitionistic fuzzy sets (IF-sets) is considered. Since the nature of IF-sets includes uncertainty expressed both by the membership and nonmembership functions, this very feature should be also regarded in the construction of the subsethood measures. Therefore, we suggest not a single coefficient measuring the grade of subsethood but two indicators that leave some space to the mentioned uncertainty and correspond rather to necessary and possible inclusion.
Author Przemysław Grzegorzewski (FMIS / DSPFM)
Przemysław Grzegorzewski,,
- Department of Stochastic Processes and Financial Mathematics
Journal seriesInformation Sciences, ISSN 0020-0255, (A 40 pkt)
Issue year2011
Vol181
No2
Pages342-350
Keywords in EnglishDegree of inclusion, Fuzzy set, IF-set, Inclusion, Inclusion grade, Inclusion indicator, Intuitionistic fuzzy set, Subsethood
ASJC Classification1702 Artificial Intelligence; 1802 Information Systems and Management; 1706 Computer Science Applications; 2614 Theoretical Computer Science; 2207 Control and Systems Engineering; 1712 Software
DOIDOI:10.1016/j.ins.2010.09.014
URL http://www.sciencedirect.com/science/article/pii/S0020025510004548
Score (nominal)40
Score sourcejournalList
Publication indicators WoS Citations = 26; Scopus Citations = 35; Scopus Citations = 34; Scopus SNIP (Source Normalised Impact per Paper): 2011 = 2.815; WoS Impact Factor: 2011 = 2.833 (2) - 2011=2.984 (5)
Citation count*24 (2015-08-19)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
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