TY - JOUR ID - 130038 TI - Fuzzy hypersoft sets and its weightage operator for decision making JO - Journal of Fuzzy Extension and Applications JA - JFEA LA - en SN - 2783-1442 AU - Debnath, Somen AD - Department of Mathematics, Umakanta Academy, Agartala-799001, Tripura, India. Y1 - 2021 PY - 2021 VL - 2 IS - 2 SP - 163 EP - 170 KW - Fuzzy set KW - Soft set KW - Hypersoft set KW - Decision Making DO - 10.22105/jfea.2021.275132.1083 N2 - Hypersoft set is an extension of the soft set where there is more than one set of attributes occur and it is very much helpful in multi-criteria group decision making problem. In a hypersoft set, the function F is a multi-argument function. In this paper, we have used the notion of Fuzzy Hypersoft Set (FHSS), which is a combination of fuzzy set and hypersoft set. In earlier research works the concept of Fuzzy Soft Set (FSS) was introduced and it was applied successfully in various fields. The FHSS theory gives more flexibility as compared to FSS to tackle the parameterized problems of uncertainty. To overcome the issue where FSS failed to explain uncertainty and incompleteness there is a dire need for another environment which is known as FHSS. It works well when there is more complexity involved in the parametric data i.e the data that involves vague concepts. This work includes some basic set-theoretic operations on FHSSs and for the reliability and the authenticity of these operations, we have shown its application with the help of a suitable example. This example shows that how FHSS theory plays its role to solve real decision-making problems. UR - https://www.journal-fea.com/article_130038.html L1 - https://www.journal-fea.com/article_130038_be390bdb09de6ce8ce08ff31219f4792.pdf ER -