Decision-making method under the interval-valued complex fuzzy soft environment. (English) Zbl 07856750
Summary: In this paper, we introduce some set-theoretic operations and laws of the IV-CFSSs, such as interval-valued complex fuzzy soft complement, union, intersection, t-norm, s-norm, simple product, Cartesian product, probabilistic sum, simple difference, and the convex linear sum of min and max operators. We define the distance measure of two IV-CFSSs. This distance measure is then used to define the \(\delta\)-equality of IV-CFSSs. We establish some particular examples and basic results of these operations and laws. Moreover, we use IV-CFSSs in decision-making problems. We develop a new decision-making method using the interval-valued complex fuzzy distance measures under the environments of IV-CFSSs. We discuss the real-life case based on the proposed decision-making method. A real-life example demonstrates that the decision-making method developed in the paper can be utilized to deal with problems of uncertainty. Further, the comparative study of IV-CFSSs with complex fuzzy soft sets, interval-valued fuzzy soft sets, and fuzzy soft sets is established.
MSC:
| 30E10 | Approximation in the complex plane |
| 03E72 | Theory of fuzzy sets, etc. |
| 94A12 | Signal theory (characterization, reconstruction, filtering, etc.) |
Keywords:
soft set; interval-valued complex fuzzy soft set; interval-valued complex fuzzy soft operations; decision-making methodReferences:
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