Paper Info
Title
MCGDM with complex Pythagorean fuzzy N-soft model
Abstract
In this research article, we introduce the fundamental facts of a new multi-skilled and powerful decision-making methodology, namely, the complex Pythagorean fuzzy N-soft TOPSIS (CPFNS-TOPSIS) method. This newly developed strategy serves as a competent mathematical tool for the rating-based modelling of two-dimensional inconsistent parameterized data. The CPFNS-TOPSIS method enables us to take advantage of both the decision-making abilities of the TOPSIS method and the very general parametric theory of the complex Pythagorean fuzzy N-soft (CPFNSS) model. The proposed technique is designed for the identification of an optimum solution which is nearest to the complex Pythagorean fuzzy N-soft positive ideal solution (CPFNS-PIS) and farthest from the complex Pythagorean fuzzy N-soft negative ideal solution (CPFNS-NIS). We put forward a complex Pythagorean fuzzy N-soft weighted averaging (CPFNSWA) operator and a normalized Euclidean distance measure for the theoretical background of our strategy. The proposed technique permits the experts to dynamically express their independent assessments regarding the proficiency of the alternatives and the weightage of the decision criteria. We aggregate the evaluated interpretations of the experts in the light of the novel CPFNSWA operator. Further, we utilize a calibrated score matrix for the determination of CPFNS-PIS and CPFNS-NIS, and we employ the proposed distance measures to analyse the proximity of the alternatives from the ideal solutions. We hierarchically categorize the feasible set of alternatives in descending order given by their revised closeness index. Moreover, we elaborate the methodology of our CPFNS-TOPSIS method with the help of an illustrative flow chart. In relation to potential applications, we investigate a case study that concerns the selection of the best earthwork construction equipment required for a newly endorsed heavy construction project. This exercise demonstrates the pertinence and feasibility of our approach. In addition, we conduct a comparative analysis of the proposed strategy with an existing multiple criteria group decision making strategy, namely, the Pythagorean fuzzy TOPSIS (PF-TOPSIS) method. This speaks for the feasibility and authenticity of the technique developed in this paper. We also present a unified discussion of our comparative study along with an interpretative bar chart which illustrates the remarkable features of the proposed strategy by validating the compatibility and accuracy of quantified similar end-results. To conclude, we explore the rationality of the developed methodology to justify its superiority over the available approaches.
Year
DOI
Venue
2021
10.1111/exsy.12783
EXPERT SYSTEMS
Keywords
DocType
Volume
complex Pythagorean fuzzy sets, CPFNSWA operator, <mml, math altimg="urn, x-wiley, 02664720, media, exsy12783, exsy12783-math-0002" display="inline" overflow="scroll"><mml, mi mathvariant="italic">N</mml, mi></mml, math>-soft sets, normalized Euclidean distance measure, Pythagorean fuzzy TOPSIS method, TOPSIS method
Journal
38
Issue
ISSN
Citations 
8
0266-4720
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Muhammad Akram144.46
Faiza Wasim200.68
Faruk Karaaslan322.40