On Some Algebraic Structures of Type 2 Fuzzy Multisets

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.

Multi-Criteria Decision Analysis Methods in the Mobile Cloud Offloading Paradigm

“…However, the selected works do not describe how the fuzzy method is used to face and understand the stochastic behavior of the mobile cloud offloading process. On the other hand, there are different extensions of the fuzzy method that can fit particular decision problems and provide good results, such as type-2 fuzzy sets [71,72], intuitionistic fuzzy sets [73,74], fuzzy multisets [75,76], nonstationary fuzzy sets [77,78], and hesitant fuzzy sets [79][80][81], etc. Meanwhile, there are several uncertainty methods that have been employed for complex problems, such as set pair analysis (SPA) [82], which considers both certainty and uncertainty as one system.…”