An improved index of interactivity for fuzzy numbers

Authors:
Robert Fullér;József Mezei;Péter Várlaki
Affiliations:
Institute for Advanced Management Systems Research, Department of Information Technologies, Åbo Akademi University, Joukahainengatan 3-5, 20520 Åbo, Finland and Department of Operations ...;Turku Centre for Computer Science, Joukahaisenkatu 3-5 B, FIN-20520 Turku, Finland;Budapest University of Technology and Economics, Bertalan L. u. 2, H-1111 Budapest, Hungary and Széchenyi Istváan University, Egyetem tér 1, H-9026 Győr, Hungary
Venue:
Fuzzy Sets and Systems
Year:
2011

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Abstract

In this paper we will introduce a new index of interactivity between marginal possibility distributions A and B of a joint possibility distribution C. The starting point of our approach is to equip each @c-level set of C with a uniform probability distribution, then the probabilistic correlation coefficient between its marginal probability distributions is interpreted as an index of interactivity between the @c-level sets of A and B. Then we define the index of interactivity between A and B as the weighted average of these indexes over the set of all membership grades. This new index of interactivity is meaningful for the whole family of joint possibility distributions.