An Approach for the Analysis of Energy Resource Selection Based on Attributes by Using Dombi T-Norm Based Aggregation Operators

Abstract

Dombi t-norm (DTN) and t-conorm (TCN) are among the most effective triangular norms in fuzzy systems for aggregation purposes. The environment of interval-valued intuitionistic fuzzy (IVIF) set gives us precision in expressing uncertain information by using a membership grade (MG) and non-membership grade (NMG) in the form of closed subintervals of 0, 1. The goal of this paper is to introduce DTN-based aggregation operators (AOs) for IVIF numbers (IVIFNs) and study their performance in the evaluation of the worth of energy recourses to be opted in Pakistan to deal with the energy crises situation. We first introduced some DTN and TCN-based operations for IVIFNs and developed two new AOs known as IVIF Dombi weighted averaging (IVIFDWA) and IVIF Dombi weighted geometric (IVIFDWG) operators. The validity and fitness of the proposed operators are tested. A case study is presented where the energy resources of Pakistan are discussed and the problem of the selection of sustainable energy resources in the context of Pakistan is investigated. The sensitivity analysis of the proposed IVIFDWA and IVIFDWG operators is studied and a comparative analysis of the current work with previous studies is established.

Prioritized Aggregation Operators for Intuitionistic Fuzzy Information Based on Aczel–Alsina T-Norm and T-Conorm and Their Applications in Group Decision-Making

“…Thus, our suggested AOs are more competent and accurate when making decisions using IF information. The proposed work has its limitations when the information expressing uncertainty has more characteristics and can be extended to the environment of interval-valued IFSs [45]. We also aim to extend this work to the frame of complex IFSs [46], complex Pythagorean fuzzy sets [47], complex q-rung orthopedic fuzzy sets [48], and T-spherical fuzzy sets (TSFSs) [49].…”

Method of Fuzzy Analysis of Qualitative-Environmental Threat in Improving Products and Processes (Fuzzy QE-FMEA)

“…For this reason, it was assumed that the improvement of the indicator selection FMEA method with the method in this method will be implemented by introducing triangular fuzzy numbers (Saaty scale). According to the authors of the works [ 28 , 29 , 32 , 33 ], these numbers are more effective than the numbers on an ordinal scale, because they ensure greater precision of decisions by reducing uncertainty and subjectivity in expert assessments. Therefore, fuzzy numbers were used to develop a selection matrix for the qualitative environmental indicator (QE), whose assessments function in a fuzzy decision-making environment [ 12 , 34 , 35 , 36 ].The developed matrix is dedicated to the proposed Fuzzy QE-FMEA method.…”

“…The values from the the matrix were not integers, which in the FMEA methodology are numbered 1 to 10. Therefore, the authors of the studies [ 28 , 29 , 32 ], assumed that the numbers from matrix as values of triangular fuzzy numbers. In view of the range of matrix values <1, 10> used a fuzzy nine-point classification scale.…”

“…Other priority numbers will be selected as described in the subject of literature, especially, i.e., [ 27 ]. Moreover, a novelty of the study is proposed to include in the FMEA, the qualitative-environmental index according to the theory of fuzzy decision environmental (triangular fuzzy numbers), which as shown by the authors of studies, e.g., [ 28 , 29 ] allows for the achievement of a higher precision of decision-making. The motivation of the implemented fuzzy numbers resulted from a new approach to include in the FMEA method the impact on the natural environment.…”

Decision-making for solar panel selection using Sugeno-Weber triangular norm-based on q-rung orthopair fuzzy information

“…An innovative approach to the analytic hierarchy technique for the decision-making process was illustrated by Kahraman et al (2009). Using operations of Dombi aggregation tools and T-spherical fuzzy information, Waqar et al (2022) evaluated a suitable optimal option from different available options. We also studied a list of dominant mathematical strategies, which were designed by numerous research scholars based on different fuzzy domains (Krishankumar et al, 2019;Hussain et al, 2022;Razzaque et al, 2023;Shafiq, 2023).…”