On Some Algebraic Structures of Type 2 Fuzzy Multisets

Jaya Paul and Sunil Jacob John
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Jaya Paul: National Institute of Technology, Calicut, India
Sunil Jacob John: National Institute of Technology, Calicut, India

International Journal of Fuzzy System Applications (IJFSA), 2017, vol. 6, issue 2, 1-24

Abstract: Many problems arise in practical applications when data is extracted from a group of experts, all of whom do not collectively agree. The theory of Type 2 Fuzzy Multisets is capable of modelling these types of uncertainties in decision making. The purpose of this paper is to introduce the study of various algebraic structures of Type 2 Fuzzy Multisets. As a beginning of this study, the concept of Type 2 Fuzzy Multigroup is introduced and its various properties are discussed. The authors also introduced the concept of normal Type 2 Fuzzy Multigroups which serves as a powerful tool in the study of group structures of Type 2 Fuzzy Multisets.

Date: 2017
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