文章基本信息

标题：A Measure of Inaccuracy between Two Fuzzy Sets
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作者：R. Verma ; Bhu Dev Sharma
期刊名称：Cybernetics and Information Technologies
印刷版ISSN：1311-9702
电子版ISSN：1314-4081
出版年度：2011
卷号：11
期号：2
出版社：Bulgarian Academy of Science
摘要：Decision making requires a strong, as well as flexible approach. Flexibility, in mathematical language, can be termed as fuzziness. A firm or corporation deals with several parties and groups. The nature of negotiations or resulting flexibilities will change from party to party. For example if a firm is dealing with a supplier or a consumer, the nature of negotiations will be different, while the nature of its own interests remains the same. For the purpose of such and many other similar dealings and negotiations an intelligent decision making mathematical measure has to be defined, based on two fuzzy criteria between the two negotiating parties, with a prime concern for one of these. In this paper a way of measuring the inaccuracy between two fuzzy sets propose is proposed. This “Inaccuracy” measure has to be based on fuzziness rather than on randomness. Some interesting mathematical properties of this measure are analyzed and the relations between fuzzy entropy, fuzzy inaccuracy and measure of fuzzy divergence are also established. Finally an example is presented to illustrate the application of the measure proposed.
关键词：Fuzzy sets; entropy; divergence measure; inaccuracy measure;fuzzy entropy; fuzzy divergence measure.