7/3/2023 0 Comments Vice versa definition![]() In addition, some operations and relations on CLDFSs are derived and their fundamental properties are investigated. It is proved that each of CIFS, CPyFS, and Cq-ROFS is a CLDFS, but not vice versa. Besides, this set approach is proposed to remove the conditions associated with the grades of complex-valued membership and complex-valued non-membership in the framework of complex intuitionistic fuzzy set (CIFS), complex Pythagorean fuzzy set (CPyFS), and complex q-rung orthopair fuzzy set (Cq-ROFS). In other words, the ranges of grades of membership, non-membership, and reference parameters in the structure of LDFS are extended from the interval to unit circle in the complex plane. ![]() In this paper, the concept of complex linear Diophantine fuzzy set (CLDFS), which is obtained by integrating the phase term into the structure of the linear Diophantine fuzzy set (LDFS) and thus is an extension of LDFS, is introduced.
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