Journal
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
Volume 40, Issue 2, Pages 169-196Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/03081079.2010.508954
Keywords
minimal fuzzy covering; fuzzy measure; associated probabilities; average misbelief criterion; most typical value; Dempster-Shafer belief structure
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Funding
- Georgian National Science Foundation [GNSF/ST08/1-361]
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In this paper, a new criterion is introduced for the discrete covering problem. In this criterion, the a priori information represented by a fuzzy measure and a misbelief distribution on alternatives are condensed by aggregation instruments. Using the Dempster-Shafer belief structure and representations of fuzzy measures through associated probabilities, several variants of a new criterion for the discrete covering problem are constructed based on aggregations by two types of the most typical value, namely, monotone expectation and fuzzy expected value. A bicriterial problem is obtained using one of the variants of the new criterion and the criterion of average price minimisation. The example on the application of a new criterion is presented, where the possibility distribution on the optimal choice of the candidates (alternatives) is represented by expert valuations.
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