Measuring the amount of knowledge for atanassov's intuitionistic fuzzy sets

Authors:
Eulalia Szmidt;Janusz Kacprzyk;Paweł Bujnowski
Affiliations:
Systems Research Institute, Polish Academy of Sciences, Warsaw and Warsaw School of Information Technology, ul. Newelska, Warsaw, Poland;Systems Research Institute, Polish Academy of Sciences, Warsaw and Warsaw School of Information Technology, ul. Newelska, Warsaw, Poland;Systems Research Institute, Polish Academy of Sciences, Warsaw and Warsaw School of Information Technology, ul. Newelska, Warsaw, Poland
Venue:
WILF'11 Proceedings of the 9th international conference on Fuzzy logic and applications
Year:
2011

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Abstract

We address the problem of how to measure amount of knowledge conveyed by an Atanassov's intuitionistic fuzzy set (A-IFS for short). The problem is useful from the point of view of a specific purpose, notably related to decision making. An amount of knowledge is strongly linked to its related amount of information. We pay particular attention to the relationship between the positive and negative information and a lack of information expressed by the hesitation margin.