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On Some Algebraic Structures of Type 2 Fuzzy Multisets

On Some Algebraic Structures of Type 2 Fuzzy Multisets

Jaya Paul, Sunil Jacob John
Copyright: © 2017 |Volume: 6 |Issue: 2 |Pages: 24
ISSN: 2156-177X|EISSN: 2156-1761|EISBN13: 9781522514947|DOI: 10.4018/IJFSA.2017040101
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MLA

Paul, Jaya, and Sunil Jacob John. "On Some Algebraic Structures of Type 2 Fuzzy Multisets." IJFSA vol.6, no.2 2017: pp.1-24. http://doi.org/10.4018/IJFSA.2017040101

APA

Paul, J. & John, S. J. (2017). On Some Algebraic Structures of Type 2 Fuzzy Multisets. International Journal of Fuzzy System Applications (IJFSA), 6(2), 1-24. http://doi.org/10.4018/IJFSA.2017040101

Chicago

Paul, Jaya, and Sunil Jacob John. "On Some Algebraic Structures of Type 2 Fuzzy Multisets," International Journal of Fuzzy System Applications (IJFSA) 6, no.2: 1-24. http://doi.org/10.4018/IJFSA.2017040101

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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.

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