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Some Results on Weighted Intuitionistic Fuzzy Soft Sets
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Author(s): Holyheavy Msirali (Nigerian Army University, Biu, Nigeria), Ijeoma Abigail Onyeozili (University of Abuja, Nigeria)and Ahmed Yusuf Omeiza (Federal University, Dutsinma, Nigeria)
Copyright: 2022
Pages: 34
Source title:
Handbook of Research on Advances and Applications of Fuzzy Sets and Logic
Source Author(s)/Editor(s): Said Broumi (Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, Casablanca, Morocco & Regional Center for the Professions of Education and Training (CRMEF), Casablanca-Settat, Morocco)
DOI: 10.4018/978-1-7998-7979-4.ch023
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Abstract
A weighted intuitionistic fuzzy soft set (WIFSS) is an important generalization of intuitionistic fuzzy soft set (IFSS). In this research work, the authors define the basic binary set operations, such as union, restricted union, restricted intersection, extended intersection, restricted difference, sum, AND-product, OR-product, and some concepts on weighted intuitionistic fuzzy soft set. They also present some properties of the operations and established some fundamental results including various De Morgan's type of results in weighted intuitionistic fuzzy soft set context.
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