Power Muirhead Mean Operators for Interval-Valued Linear Diophantine Fuzzy Sets and Their Application in Decision-Making Strategies

It is quite beneficial for every company to have a strong decision-making technique at their disposal. Experts and managers involved in decision-making strategies would particularly benefit from such a technique in order to have a crucial impact on the strategy of their company. This paper considers the interval-valued linear Diophantine fuzzy (IV-LDF) sets and uses their algebraic laws. Furthermore, by using the Muirhead mean (MM) operator and IV-LDF data, the IV-LDF power MM (IV-LDFPMM) and the IV-LDF weighted power MM (IV-LDFWPMM) operators are developed, and some special properties and results demonstrated. The decision-making technique relies on objective data that can be observed. Based on the multi-attribute decision-making (MADM) technique, which is the beneficial part of the decision-making strategy, examples are given to illustrate the development. To demonstrate the advantages of the developed tools, a comparative analysis and geometrical interpretations are also provided.DFG, 414044773, Open Access Publizieren 2021 - 2022 / Technische Universität Berli

Confidence Levels Measurement of Mobile Phone Selection Using a Multiattribute Decision-Making Approach with Unknown Attribute Weight Information Based on T-Spherical Fuzzy Aggregation Operators

Advancement in mobile phone (MP) technology has revolutionized the lifestyle. In recent years, we observed that MP technology had been involved in almost all aspects of life, such as communication purposes, e-commerce, mobile baking, and social media connectivity. So, it becomes a hot research topic to select the best MP that fulfills the desired feathers requirement. In this paper, the expert’s familiarity with the examined objects is factored into the initial judgments under the T-spherical fuzzy sets (T-SFSs) environment. The T-SFS is the extension of the picture fuzzy (PF) set (PFS), which gives wider scope for finding the most precise options than existing fuzzy frameworks. The multiattribute decision-making (MADM) is a common and valuable method for aggregating information. For MADM, various aggregation operators (AOs) have been created over the years. The article introduces the newly proposed approach T-spherical fuzzy (T-SF) confidence level weighted averaging T−SFWAc and T-SF confidence level weighted geometric T−SFWGc. Also, some desired properties of AOs are discussed, and the T-SF entropy measure is introduced for selecting the weight criteria. A MADM framework is introduced, on the behalf of proposed operators. The proposed MADM framework is applied to solve the real-life example of consumers’ preferences to show effectiveness and practicality. Lastly, the developed framework is set side by side with other prevailing approaches to demonstrate the superiority and significance of other existing AOs

Analysis of TOPSIS techniques based on bipolar complex fuzzy N‐soft setting and their applications in decision‐making problems

Abstract A novel model termed a bipolar complex fuzzy N‐soft set (BCFN‐SS) is initiated for tackling information that involves positive and negative aspects, the second dimension, and parameterised grading simultaneously. The theory of BCFN‐SS is the generalisation of two various theories, that is, bipolar complex fuzzy (BCF) and N‐SS. The invented model of BCFN‐SS helps decision‐makers to cope with the genuine‐life dilemmas containing BCF information along with parameterised grading at the same time. Further, various algebraic operations, including the usual type of union, intersection, complements, and a few others types, are invented. Certain primary operational laws for BCFN‐SS are also invented. Moreover, a technique for order preference by similarity to the ideal solution (TOPSIS) approach is devised in the setting of BCFN‐SS for managing strategic decision‐making (DM) dilemmas containing BCFN‐SS information. Keeping in mind the usefulness and benefits of the TOPSIS approach, two various types of TOPSIS approaches in the environment of BCFN‐SS are devised and then a numerical example for exposing the usefulness of the devised TOPSIS approach is interpreted. To disclose the prominence and benefits of the devised work, the devised approaches with numerous prevailing work are compared