Preprint

·2021 OPEN ACCESS

A Pythagorean Cubic Fuzzy Methodology Based on TOPSIS and TODIM Methods and its Application to Software Selection Problem

Şükran Şeker YTU , Cengiz Kahraman YTU

Research Square

Abstract

Abstract Software selection process for many organizations is a challenging task to conduct their business activities and sustain competitiveness. This paper develops a new hybrid multi-criteria decision making (MCDM) method to select the most effiecient vendor-supplied software package which is used in all business activities for planning or designing, organizing, and supervising functions by operations management of a fuel oil company operated in Turkey. The proposed method is a hybridization of two well-known MCDM approaches, namely TODIM (an acronym in Portuguese for Interactive and Multi criteria Decision Making) and TOPSIS (technique for order preference by similarity to an ideal solution) using Pythagorean cubic fuzzy sets (PCFS) to manage uncertainty, subjectivity and bias of decision makers (DMs). To prove the efficiency and applicability of the proposed method, a real life application to select best software package for fuel oil company, is conducted. Finally, a sensitivity and comparison analyses are carried out to verify validity and stability of the results obtained by the proposed approach.

Keywords

Pythagorean theorem Selection (genetic algorithm) Fuzzy logic Computer science TOPSIS Software Mathematics Operations research Artificial intelligence

Subject Areas

Multi-Criteria Decision Making ·Management Science and Operations Research ·Social Sciences
Fuzzy Logic and Control Systems ·Artificial Intelligence ·Physical Sciences
Rough Sets and Fuzzy Logic ·Computational Theory and Mathematics ·Physical Sciences

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