The aim of this manuscript is to present a new concept of hesitant q-rung orthopair fuzzy sets (Hq-ROFSs) by combining the concept of the q-ROFSs as well as Hesitant fuzzy sets. The proposed concept is the generalization of the fuzzy sets, intuitionistic fuzzy sets, hesitant fuzzy sets, and Pythagorean fuzzy sets as well as intuitionistic hesitant fuzzy sets (IHFSs) and hesitant Pythagorean fuz...

Pythagorean fuzzy set (PFS) is a broadening of intuitionistic that can represent the situations where sum membership and non-membership values exceeds one. Adding parameterization to PFS, we obtain structure named as soft (PFSS). It has higher capacity deal with vagueness it captures both structures PFS set. Several practical demand measure similarity between two structures, whose value There a...

Complex numbers can capture compound features and convey multifaceted information; thereby providing means for solving complicated problems. In this paper, we combine the degree of membership and a degree of non-membership of members of Intuitionistic Fuzzy Sets via complex numbers to characterize these fuzzy sets. This approach enables extending several concepts such as classical fuzzy sets, P...

Managers nowadays face challenging decisions on daily basis and must weigh a growing number of factors while making such decisions. Previously, judgments were frequently assessed solely based single criterion, as profit or cost. Cost profit, the other hand, rarely captures desirability decision option. One most common popular research domains in science theory is multiple attribute (MADM) probl...

Multi-criteria group decision-making is a process in which decision makers assess the performance of alternatives on the basis of conflicting criteria to opt the most worthy alternative as solution. TOPSIS and ELECTRE are effective and commonly used methods to solve multiple criteria decision-making problems. The aim of this study is to propose two new models, namely, complex Pythagorean fuzzy ...

Cosine and cotangent similarity measurements are critical in applications for determining degrees of difference between objects. In the literature, numerous measures various extensions fuzzy set, soft Intuitionistic Fuzzy Sets (IFSs), Pythagorean (PFSs) HyperSoft (HSSs) have been explored. Neutrosophic (NHSSs), on other hand, has fewer cosine measures. this paper, we propose trigonometric NHSSs...

Sustainability plays a significant role in promoting competence and collaboration supply chain management due to increased environmental awareness, tightened regulations, government policies. The evaluation of sustainable suppliers selecting the best one is indispensable for companies promote sustainability. Due multi-criteria nature supplier selection process, it has been considered as decisio...

The process of computing correlation among attributes an ordinary database is significant in the analysis and classification a data set. Due to uncertainties embedded classification, encapsulating techniques using Pythagorean fuzzy information appropriate curb uncertainties. Although coefficient between (PFD) applicable measure, its output not reliable because intrinsic effect other interfering...

Investments in microgeneration technologies help to boost the usage of clean energy while reducing pollution. However, selecting appropriate investment remains most critical phase developing these technologies. This study aims design a multi-criteria decision-making method (MCDM) evaluate alternatives for The proposed MCDM is based on Multi Stepwise Weight Assessment Ratio Analysis (M-SWARA), d...

The Pythagorean fuzzy soft set (PFSS) is the most proficient and manipulative leeway of (PFS), which contracts with parameterized values alternatives. It a generalized form intuitionistic (IFSS), provides healthier more accurate evaluations through decision-making (DM). main determination this research to prolong idea Einstein’s aggregation operators for PFSS. We introduce Einstein operational ...