Abstract

Fuzzy Sets (FSs) are important tool to model uncertainty and vagueness. Entropy is being used to measure the fuzziness within in a Fuzzy Set (FS). We suggested new entropy measure for FSs. The suggested entropy is provided to satisfy all the axioms. The numerical results show that the newly proposed entropy can be computed easily and give reliable results. The decision-making algorithm F-TOPSIS (Techniques of ordered preference similarity to ideal solution) is utilized to solve Multicriteria Decision-Making Problem (MCDM) related to daily life. These entropy measures are applied for ranking the best tourist place at Gilgit Baltistan (GB) Pakistan. Numerical examples with applications show practical effectiveness of our proposed entropy measure.

Keywords:Fuzzy entropy; Uncertainty; TOPSIS; Multi criteria decision making