Spherical Linear Diophantine Fuzzy TOPSIS Algorithm for Green Supply Chain Management System

Abstract

Enhancing competitive pressure is one of the most significant roles of supply chain management. The competitive environment and customer perception have shifted in favour of an ecological mentality. As a result, green supplier selection (GSS) has emerged as a critical problem. The challenge of green supplier selection striving for agility, durability, ecological sensitivity, leanness, and sustainability is tackled in this paper. In terms of recycling applications, environmental applications, carbon footprint, and water consumption, the environmental parameters evaluated in GSS and traditional supplier selection differ. Because of the form of the problem, a resolution is defined, which comprises an algorithm entrenched in the spherical linear Diophantine fuzzy sets (SLDFSs) Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) technique. Before discussing the approach of the SLDF model, some background information on SLDF sets is provided. To assure the uniqueness of this robust extension, different operations on SLDFSs are described, along with some concise interpretations to help the reader comprehend these ideas. A robust TOPSIS approach has been utilized in the issue of GSS by taking into consideration the multicriteria decision-making (MCDM) technique particularly useful in several areas, like analyzing and choosing traditional and environmental conventionalities. Due to linguistic criteria and the inability to assess all criteria, the fuzzy technique must be used with the TOPSIS method to lessen the consequences of instability and ambiguity. The spherical linear Diophantine fuzzy TOPSIS approach is employed, as it simplifies the evaluation of decision-makers and criteria. The hybrid technique resulting from integrating the SLDFS and TOPSIS is extremely successful in selecting which provider is more suited among the alternatives established on the criteria set by the order of significance, and this method may also be incorporated into similar issues.

Green Supplier Assessment and Selection for Sea Cucumber (Apostichopus japonicus) Processing Enterprise: Case Study in China

“…The fuzzy relation judgment matrix of each first-grade indicator obtained is multiplied by the indicator weight. Taking the first-level economic indicators as an example, the weight of the second-grade indicators can be expressed as a vector: W Economy = (0.33 0.14 0.22 0.03 0.14 0.06 0.02 0.06) (12) According to Equation ( 7), the first-grade indicators' fuzzy comprehensive evaluation vector of suppliers S1, S2, S3, S4, and S5 can be obtained. Taking the economic indicators of S1 as an example, the fuzzy comprehensive evaluation vectors are as follows: P S1-Economy = (0.488 0.432 0.08) (13) The results of the fuzzy comprehensive evaluation of the first-grade indicators of the five sea cucumber farming suppliers are shown in Table 7.…”

“…Green suppliers are in an important position in the upstream of the supply chain. Selecting suitable suppliers as partners is one of the key activities of green supply chain management [11,12] and helps to improve the quality of product production, reduce unnecessary resource loss, and reduce supply chain costs [13]. It plays a vital role in the implementation of green supply chain management and the long-term sustainable development of enterprises [14].…”

Evolved distance measures for circular intuitionistic fuzzy sets and their exploitation in the technique for order preference by similarity to ideal solutions

“…Many MCDA systems employ a step-by-step evaluation process that entails gathering pertinent information, identifying potential alternatives, and assessing workable solutions to aid decision-makers in making more deliberate and meaningful decisions (Chen 2022a , b ; Tsao and Chen 2022 ). In particular, the technique for order preference by similarity to ideal solutions (TOPSIS), which originated from Hwang and Yoon ( 1981 ), is a useful prioritization method in important fields of management analysis and decision theory (Alshammari et al 2022 ; Yang et al 2022 ). TOPSIS exploits a compensatory aggregation approach that is predicated on the geometric distances between performance ratings associated with candidate alternatives and ideal/anti-ideal alternatives (composed of the best/worst performance ratings in terms of each criterion) to assess the relative merits of candidate alternatives (Guan 2022 ; Yang et al 2022 ; Zhang et al 2022 ).…”

Bipolar Spherical Fuzzy Soft Topology with Applications to Multi-Criteria Group Decision-Making in Buildings Risk Assessment

“…Many studies have been carried out recently on spherical fuzzy soft topological spaces. Table 1 shows some fuzzy models with existing limitations [60,61].…”