Evaluation Based on Distance From Average Solution for Circular Pythagorean Fuzzy Schweizer-Sklar Power Aggregation Operators and Their Application in Transportation Problems for Linear Programming

Abstract

Ranking circular Pythagorean fuzzy sets using distance-based techniques involves calculating the distance between a circular Pythagorean fuzzy set and a reference point that represents either maximum (positive ideal solution) or minimum (negative ideal solution) values. Theoretical design is a major link in the procedure of complex product design, and it is most valuable and dominant to choose the appropriate design scheme, however, there are various kinds and inaccuracies of the evaluation information, and there is a problem of mutual influence among the evaluation criteria, which leads to unreliable decision-making of the optimal solution. In order to evaluate these problems, we concentrate on designing the model of power average/geometric operators based on Schweizer-Sklar operational laws based on the technique of circular Pythagorean fuzzy values. For this, first, we compute the model of Schweizer-Sklar operational laws for circular Pythagorean fuzzy valuable, and then we derive the model of circular Pythagorean fuzzy Schweizer-Sklar power averaging operator, circular Pythagorean fuzzy Schweizer-Sklar power weighted averaging operator, circular Pythagorean fuzzy Schweizer-Sklar power geometric operator, and circular Pythagorean fuzzy Schweizer-Sklar power weighted geometric operator for both t-norm and t-conorm. For the above operators, we also simplify the model of idempotency, monotonicity, and boundedness. Further, we construct the technique of Evaluation Based on the Distance from the Average Solution method based on initiated operators. Additionally, we develop three different procedures for evaluating the problem of transportation for linear programming with the help of a multi-attribute decision-making problem based on the Evaluation Based on Distance from Average Solution method, based on averaging operators, and based on geometric operators. In a sensitive analysis, we compare the proposed techniques with various extant

Keywords

• Circular pythagorean fuzzy sets
• decision-making model
• EDAS technique
• linear programming
• optimization
• Schweizer-Sklar power aggregation operators