Conflict distance-based variable precision Pythagorean fuzzy rough set in Pythagorean fuzzy decision systems with applications in decision making

Volume 34, Issue 1, pp 65--73 https://dx.doi.org/10.22436/jmcs.034.01.06

Publication Date: February 16, 2024 Submission Date: November 27, 2023 Revision Date: December 11, 2023 Accteptance Date: December 13, 2023

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Authors

L. Sahoo - Department of Computer and Information Science, Raiganj University, Raiganj 733134, India. S. Guchhait - Department of Computer Science, Tamralipta Mahavidyalaya, Tamluk, W.B-721636, India. T. Allahviranloo - Research Center of Performance and Productivity Analysis, Istinye University, Istanbul, Turkiye. J. R. R. Kumar - Computer Engineering Department, Genba Sopanrao Moze College of Engineering, Pune, India. M. R. Tarambale - Electrical Engineering Department, PVG’s College of Engineering and Technology and G K Pate Institute of Management, Pune, India. M. Catak - College of Engineering and Technology, American University of the Middle East, Kuwait.

Abstract

Our main task in this paper is to consider a type of nonlinear Volterra integral equations (NVIE) for the existence and uniqueness of the solution and stability of this equations. In this article, considering the fuzzy space in matrix form has tried to select the optimal controller for the control function. For this purpose, by using several types of special functions and by introducing the aggregation function, we investigate the optimal stability of the NVI equations. We also present an application of the obtained results numerically.

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Keywords

• Fixed-point theory (FPT)
• Fuzzy optimal stability
• aggregation function (AF)
• Optimal control function
• nonlinear Volterra integral equation

MSC

•  46L05
•  47B47
•  47H10
•  46L57
•  39B62

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