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Neutrosophic Sets and Systems

Abstract

In this study, as a generalized form of multiple valued neutrosophic numbers and neutrosophic quadruple numbers, multiple generalized set-valued neutrosophic quadruple numbers and sets are defined and their basic properties are given. Thus, a new structure is obtained in which multi-valued neutrosophic sets and neutrosophic quadruple sets are used together. Also, optimistic union, pessimistic union, average union, pessimistic intersection, optimistic intersection, average intersection operators are defined for multiple generalized set-valued neutrosophic quadruples. Thus, multiple generalized set-valued neutrosophic quadruple sets were made usable in decision-making applications. Researchers can obtain more objective results in decision making applications by using these operators.

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