Construction Material Selection by Using Multi-Attribute Decision Making Based on q-Rung Orthopair Fuzzy Aczel–Alsina Aggregation Operators

Abstract

A contribution of this article is to introduce new q-rung Orthopair fuzzy (q-ROF) aggregation operators (AOs) as the consequence of Aczel–Alsina (AA) t-norm (TN) (AATN) and t-conorm (TCN) (AATCN) and their specific advantages in handling real-world problems. In the beginning, we introduce a few new q-ROF numbers (q-ROFNs) operations, including sum, product, scalar product, and power operations based on AATN and AATCN. At that point, we construct a few q-ROF AOs such as q-ROF Aczel–Alsina weighted averaging (q-ROFAAWA) and q-ROF Aczel–Alsina weighted geometric (q-ROFAAWG) operators. It is illustrated that suggested AOs have the features of monotonicity, boundedness, idempotency, and commutativity. Then, to address multi-attribute decision-making (MADM) challenges, we develop new strategies based on these operators. To demonstrate the compatibility and performance of our suggested approach, we offer an example of construction material selection. The outcome demonstrates the new technique’s applicability and viability. Finally, we comprehensively compare current procedures with the proposed approach.

Aczel–Alsina T-norm based group decision-making technique for the evaluation of electric cars using generalized orthopair fuzzy aggregation information with unknown weights

“…The thought of prioritized AOs is based on IFS given in Ref. [ 68 ] and the theory diagnosed for complex bipolar fuzzy sets presented in Ref. [ 69 ].…”

“…The notion of q-ROF Aczel-Alsina AOs (q-ROFAAAOs) was proposed in Ref. [ 19 ], and the idea of Interval-valued IF variable hybrid weighted AOs was proposed in Ref. [ 20 ].…”

Analysis of Hamming and Hausdorff 3D distance measures for complex pythagorean fuzzy sets and their applications in pattern recognition and medical diagnosis

“…In the future, we aim to develop some new ideas such as averaging or geometric aggregation operators [26], Maclaurin symmetric mean operators [35], Aczel-Alsina operators [18], information measures [33], similarity measures [23], Einstein aggregation operators, Hamacher aggregation operators, improved Dombi aggregation operators [17], interaction aggregation operators, similarity measures, distance measures, many techniques based on CPyFSs and try to justify it with the help of some suitable applications such as road signals, computer networks, game theory, artificial intelligence, and decision-making theory.…”

Multi-attribute decision-making using Archimedean aggregation operator in T-spherical fuzzy environment

“…Wei (2010), presented the IF trapezoidal fuzzy operators, and Jana et al (2019) proposed the concept of Dombi AOs in IFS theory as well as in PyFS theory. The q-ROFS Aczel-Alsina AOs defined by Khan et al (2022). Ullah, Mahmood, and Garg (2020) provided the thought of Hamacher AOs in the TSF environment while Hamacher AOs in the IFSs system based on entropy measurement developed by Garg (2019).…”