Title: On decision-making with non-standard fuzzy subsets

Authors: Ronald R. Yager

Addresses: Machine Intelligence Institute, Iona College, New Rochelle, NY 10801, USA

Abstract: We describe the formal equivalence between interval valued and intuitionistic fuzzy subsets. We then discuss the role of fuzzy set methods in multi-criteria decision-making. We note that when an application involves non-standard, interval valued or intuitionistic fuzzy subsets, a problem arises in choosing a best alternative. This problem is a result of the fact that the membership grades of these non-standard fuzzy subsets are not completely ordered. Here, we introduce a method for evaluating alternatives in this situation.

Keywords: intuitionistic fuzzy sets; interval valued fuzzy sets; multi-criteria decision making; MCDM; decision attitudes; alternatives evaluation.

DOI: 10.1504/IJKESDP.2009.021980

International Journal of Knowledge Engineering and Soft Data Paradigms, 2009 Vol.1 No.1, pp.3 - 10

Published online: 15 Dec 2008 *

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