Partner Sets for Generalizations of MultiNeutrosophic Sets
Tuqa A. H. Al-Tamimi*1, Luay A. A. Al-Swidi 2, Ali H. M. Al-Obaidi3
1, 2, 3 Department of Mathematics, College of Education for Pure Science, University of Babylon, Hillah, Iraq
Emails: tuqa.hasan.pure442@student.uobabylon.edu.iq; pure.leal.abd@uobabylon.edu.iq; aalobaidi@uobabylon.edu.iq
Abstract
Fuzzy sets and their various generalizations, especially neutrosophic and multineutrosophic sets, have had an essential imprint in other scientific, engineering, and applied fields. This came from the characteristics of membership functions that determine the extent to which members belong to their sets, which is an important criterion. Hence, the idea of building the optimal membership function for fuzzy set using the arithmetic mean, we called this set by partner sets of a neutrosophic set of -type.
Keywords: Fuzzy set; Neutrosophic set; partner set; multineutrosophic set; type-2 fuzzy set; type-n fuzzy set; partner cardinality set; partner cardinality topology; quasi-coincident; sticky set; packing set.