Correlation Coefficients of Fermatean Fuzzy Sets with a Medical Application

The FFS is an influential extension of the available IFS and PFS, whose benefit is to better exhaustively characterize ambiguous information. For FFSs, the correlation between them is usually evaluated by the correlation coefficient. To reflect the perspective of professionals, in this paper, a new correlation coefficient of FFSs is proposed and investigated. The correlation coefficient is very important and frequently used in every field from engineering to economics, from technology to science. In this paper, we propose a new correlation coefficient and weighted correlation coefficient formularization to evaluate the affair between two FFSs. A numerical example of diagnosis has been gotten to represent the efficiency of the presented approximation. Outcomes calculated by the presented approximation are compared with the available indices

Analysis of the Trade Performance of the European Union and Serbia on the Base of FF-WASPAS and WASPAS Methods

In this paper, based on a multicriteria analysis, the trade performance of selective countries of the European Union and Serbia is reviewed. In this paper, based on a multicriteria analysis, the trade performance of selective countries of the European Union and Serbia is reviewed.According to the results of the FF-WASPAS method, Germany's trade ranks first in terms of performance. They are followed by: France, Italy, Hungary, Greece, Croatia, Slovenia, Austria, Serbia, Bulgaria and Romania. Croatia's trade performance is better than Slovenia's. According to the results of the FF-WASPAS method, Serbia is in a worse position than Croatia and Slovenia. According to the results of the classic WASPAS method, Germany's trade ranks first in terms of performance. Followed by: Italy, France, Greece, Romania, Bulgaria, Hungary, Austria, Serbia, Croatia and Slovenia. The leading countries of the European Union (Germany, France and Italy) are among the top five countries (along with Greece and Romania). Serbia is in a better position compared to Croatia and Slovenia. Numerous factors influenced the performance positioning of trade between the European Union and Serbia: economic climate, foreign direct investments, asset management, new business models (multichannel sales, private label, sales of organic products), new concepts of cost, sales and profit management (cost calculation by activity, customer management, product category management, etc.), the Covid-19 pandemic, the energy crisis, etc. A key factor is the digitization of the entire business. The target profit can be achieved by adequately controlling them

Multi-Criteria Decision-Making Method with Fermatean Fuzzy Soft Sets and Application of Infectious Diseases

Fermatean fuzzy soft set is the most powerful and effective extension of Fermatean fuzzy sets which deals with the parametrized values of the alternatives. It is also a generalization that provides better and more precise information in the decision-making process compared to Pythagorean and intuitionistic fuzzy soft sets. In this study, “OR” and “AND” operations and some different algebraic operations will be given. Then, some basic properties have been established for the Fermatean fuzzy soft set employing the improved operations. Furthermore, a decision-making approach has been suggested for the Fermatean fuzzy soft set based on a score matrix. To demonstrate the validity of the proposed approach, a numerical example has been presented

Multiple attribute decision-making based on Fermatean fuzzy number

Multiple attribute decision-making concerns with production significant in our everyday life. To resolve the problems that decision makers might feel uncertain to choose the suitable assessment values among several conceivable ideals in the procedure. Fuzzy model, and its extensions are extensively applied to MADM problems. In this study, we proposed an innovative Schweizer-Sklar t-norm and t-conorm operation of FFNs, Fermatean fuzzy Schweizer-Sklar operators. They were used as a framework for the development of an MCDM method, which was illustrated by an example to demonstrate its effectiveness and applicability. Finally, a complete limitation study, rational examination, and comparative analysis of the presented approaches has been exhibited, we originate that our technique is superior in offering DMs a better decision-making choice and reducing the restrictions on stating individual partialities

A decision-making framework based on the Fermatean hesitant fuzzy distance measure and TOPSIS

A particularly useful assessment tool for evaluating uncertainty and dealing with fuzziness is the Fermatean fuzzy set (FFS), which expands the membership and non-membership degree requirements. Distance measurement has been extensively employed in several fields as an essential approach that may successfully disclose the differences between fuzzy sets. In this article, we discuss various novel distance measures in Fermatean hesitant fuzzy environments as research on distance measures for FFS is in its early stages. These new distance measures include weighted distance measures and ordered weighted distance measures. This justification serves as the foundation for the construction of the generalized Fermatean hesitation fuzzy hybrid weighted distance (DGFHFHWD) scale, as well as the discussion of its weight determination mechanism, associated attributes and special forms. Subsequently, we present a new decision-making approach based on DGFHFHWD and TOPSIS, where the weights are processed by exponential entropy and normal distribution weighting, for the multi-attribute decision-making (MADM) issue with unknown attribute weights. Finally, a numerical example of choosing a logistics transfer station and a comparative study with other approaches based on current operators and FFS distance measurements are used to demonstrate the viability and logic of the suggested method. The findings illustrate the ability of the suggested MADM technique to completely present the decision data, enhance the accuracy of decision outcomes and prevent information loss

Multiple-Criteria Decision Making

Decision-making on real-world problems, including individual process decisions, requires an appropriate and reliable decision support system. Fuzzy set theory, rough set theory, and neutrosophic set theory, which are MCDM techniques, are useful for modeling complex decision-making problems with imprecise, ambiguous, or vague data.This Special Issue, “Multiple Criteria Decision Making”, aims to incorporate recent developments in the area of the multi-criteria decision-making field. Topics include, but are not limited to:- MCDM optimization in engineering;- Environmental sustainability in engineering processes;- Multi-criteria production and logistics process planning;- New trends in multi-criteria evaluation of sustainable processes;- Multi-criteria decision making in strategic management based on sustainable criteria