TOPSIS approach for MCGDM based on intuitionistic fuzzy rough Dombi aggregation operations

Abstract

Atanassov presented the dominant notion of intuitionistic fuzzy sets which brought revolution in different fields of science since their inception. The operations of t-norm and t-conorm introduced by Dombi were known as Dombi operations and Dombi operational parameter possesses natural flexibility with the resilience of variability. The advantage of Dombi operational parameter is very important to express the experts’ attitude in decision-making. This study aims to propose intuitionistic fuzzy rough TOPSIS method based on Dombi operations. For this, first we propose some new operational laws based on Dombi operations to aggregate averaging and geometric aggregation operators under the hybrid study of intuitionistic fuzzy sets and rough sets. On the proposed concept, we present intuitionistic fuzzy rough Dombi weighted averaging, intuitionistic fuzzy rough Dombi ordered weighted averaging, and intuitionistic fuzzy rough Dombi hybrid averaging operators. Moreover, on the developed concept, we present intuitionistic fuzzy rough Dombi weighted geometric, intuitionistic fuzzy rough Dombi ordered weighted geometric, and intuitionistic fuzzy rough Dombi hybrid geometric operators. The basic related properties of the developed operators are presented in detailed. Then the algorithm for MCGDM based on TOPSIS method for intuitionistic fuzzy rough Dombi averaging and geometric operators is presented. By applying accumulated geometric operator, the intuitionistic fuzzy rough numbers are converted into the intuitionistic fuzzy numbers. The massive outbreak of the pandemic COVID-19 promoted the challenging scenario for the world organizations including scientists, laboratories, and researchers to conduct special clinical treatment strategies to prevent the people from COVID-19 pandemic. Additionally, an illustrative example is proposed to solve MCGDM problem to diagnose the most severe patient of COVID-19 by applying TOPSIS. Finally, a comparative analysis of the developed model is presented with some existing methods which show the applicability and superiority of the developed model.

Performance analysis of a complex process industrial unit utilizing intuitionistic fuzzy-based integrated framework

“…The incorporation of these concepts in TOPSIS methodology transformed traditional approach into fuzzy TOPSIS and IFTOPSIS. Subsequently, both the approaches were applied in many versatile areas – risk evaluation (Shen et al ., 2018), site selection (Daneshvar Rouyendegh et al ., 2018), construction company (Zolfani et al ., 2020), milk process industry (Das et al ., 2021), health sector (Hussain et al ., 2023), mining online reviews (Li et al ., 2023) and so forth. In the IFTOPSIS approach, the first three steps are similar to IFFMEA, and therefore these steps are not discussed here due to space limitation.…”

“…, site selection(Daneshvar Rouyendegh et al, 2018), construction company(Zolfani et al, 2020), milk process industry(Das et al, 2021), health sector(Hussain et al, 2023), mining online reviews(Li et al, 2023) and so forth. In the…”

Ranking Failure Modes with Pythagorean Fuzzy Rough VIKOR: A Case Study in Automatic Washing Machines

“…Upper and lower limits in the FRNs adequately characterize the ambiguity of the entire TFNs and the vagueness of any component containing the modal value, upper and lower bounds [43]. Hussain et al [19] proposed an intuitionistic fuzzy rough TOPSIS approach using Dombi operations. Khan et al [21] merged the ITARA and VIKOR approaches under q-rung picture fuzzy environment.…”