Estimating the overall efficiency of storage batteries in Fermatean picture fuzzy environment

Abstract

Electricity storage devices play a very vital role in efficient energy management. Storage technologies vary depending on the specific needs and applications. Battery is a electric storage system which converts chemical energy into electrical energy and possess some specific parameters that characterize them. Here, four types of storage batteries are evaluated based on their efficiency, cost, life span and energy density properties using COPRAS and ARAS methods on Fermatean picture fuzzy sets. Firstly a decision matrix is constructed using Fermatean picture fuzzy sets and it is normalized. Entropy measure is defined which helps in calculation of weight values. Next aggregated weighted normalized Fermatean picture fuzzy matrix is found and using this relative significant and utility values are calculated in COPRAS method. In ARAS method optimal function values are determined and utility values are found. The alternatives are ranked based on the utility values. In both the methods it is found that the rank of the best alternative is the same whereas the ranking of other alternatives vary.

Keywords

• fermatean fuzzy set
• copras method
• aras method
• utility value
• relative significant values