A Robust Weighted Distance Measure and its Applications in Decision-making via Pythagorean Fuzzy Information

Paul Augustine Ejegwa

1. Department of Mathematics, University of Agriculture, P.M.B. 2373, Makurdi, Nigeria

Email: [email protected]

2. Department of Computer Science, University of Agriculture, P.M.B. 2373, Makurdi, Nigeria

Email: [email protected]

*Corresponding Author

Pythagorean fuzzy set (PFS) has proven to be a competent soft computing tool because of its capacity to tackle fuzziness in decision-making. Pythagorean fuzzy distance measures are reliable techniques deployed to appreciate the application of PFSs. Some distance measures between PFSs have been explored, where the complete parameters of PFSs are considered. These distance measures lack reliability due to the negligent of the weights of elements under Pythagorean fuzzy situation. In this paper, a novel distance measure between PFSs is proposed and its weighted version to enhance reliability in terms of applications. To show the suitability of the measures, we characterize the distance measure and its weighted version with some results. In addition, certain decision-making problems involving cases of pattern recognition and disease diagnosis are discussed based on the measures. From a comparative analysis of some existing distance measures with the novel distance measures, it is observed that the proposed distance measures are superior in term of accuracy and reliability.

Decision-making, Distance measure, Pythagorean fuzzy set, Pattern recognition, Disease diagnosis

Paul Augustine Ejegwa and Idoko Charles Onyeke (2021). A Robust Weighted Distance Measure and its Applications in Decision-making via Pythagorean Fuzzy Information. Journal of the Institute of Electronics and Computer, 3, 87-97. https://doi.org/10.33969/JIEC.2021.31007.

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