期刊
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING
卷 152, 期 -, 页码 262-281出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ijar.2022.11.001
关键词
Intuitionistic fuzzy sets theory; Dempster-Shafer theory; Multiple criteria decision making; Comparison of the real interval and; fuzzy-valued intuitionistic fuzzy and; Belief-Plausibility numbers
Recently, a useful redefinition of the intuitionistic and interval-valued intuitionistic fuzzy set theories based on the Dempster-Shafer theory of evidence was developed, named the Belief-Plausibility approach. This paper proposes a new approach to compare real, interval and fuzzy-valued intuitionistic fuzzy and BP numbers. The redefinition based on the BP approach allows for the development of new methods for comparison in the framework of the BP approach.
Recently the useful redefinition of the intuitionistic and interval-valued intuitionistic fuzzy set theories (A - IF S, A- IV I F S) based on the Dempster-Shafer theory of evidence (DST) was developed. It was named the Belief-Plausibility (B P) approach as only the basic mathematical tools of the DST were used for its foundation. In this paper, a new approach to compare the real, interval and fuzzy-valued intuitionistic fuzzy and BP numbers is proposed. Among known approaches to compare intuitionistic fuzzy objects, most justified and used in applications are those based on the so-called score and accuracy functions. The observed multiplicity of these functions treatments and modifications indicates that the source of such a divergence is the impossibility to solve this problem exclusively in the framework of the A- IF S. Therefore, to develop the reliable methods for the considered types of comparison, a redefinition of this problem based on the BP approach is proposed. This redefinition allows us to develop new two and three criteria methods for comparison of real, interval and fuzzy-valued intuitionistic fuzzy and BP numbers, based on the local criteria with transparent interpretation in the framework of the BP approach.(c) 2022 Elsevier Inc. All rights reserved.
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