Multiple criteria choice modeling using the grounds of T‐spherical fuzzy REGIME analysis

Abstract

In an uncertain context of T‐spherical fuzzy (T‐SF) sets, the purpose of this study is to propound an efficacious multiple criteria choice model, named a T‐SF REGIME method, predicated on a dominance analysis and a prioritization analysis. The REGIME methodology is a well‐founded evaluation technique suitable for multiple criteria choice analysis owing to it has good applicability to the processing of qualitative information and to complex scenarios. Unlike the existing REGIME techniques, this paper takes advantage of a new Minkowski‐type distance measure and an evolved Gaussian preference function to propound a ground‐breaking T‐SF REGIME model. This paper first concentrates on an evolution of the Minkowski‐type distance measure and explores special cases with relevant properties for functional use. Next, this paper concerns an ascertainment of the evolved Gaussian preference function as a part of the proposed T‐SF REGIME mechanism. This paper focuses on an advancement of the REGIME structure to T‐SF uncertain contexts and unfolds an inventive T‐SF REGIME methodology by virtue of superiority identifiers/indices, guide identifiers/indices, and joint generalized indices. The usefulness and strength points of the advanced methodology are scrutinized through a realistic application in the field of solar plant to prioritize the options of photovoltaic cells. The application results and comparisons corroborate the high efficiency and strengths of the evolved methodology.

Multiple criteria decision analytic methods in management with T-spherical fuzzy information

“…However, the decision analytic procedure would be accompanied by a lot of uncertainties due to ignorance, indeterminateness, or, in any case, lack of information (Donyatalab et al 2022 ; Erdoğan 2022 ; Naeem et al 2022 ; Zhou and Chen 2022 ). These uncertainties not only hinder an effectual process of multiple criteria analysis but also have an unfavorable impact on the resolution outcomes and decision-making quality (Chen 2022d ; Tsao and Chen 2022 ; Wang and Chen 2021 ). In case of problem-solving involving intricate uncertainties, decision-makers need to employ a productive and formidable framework to model indistinct and equivocal information closely related to their decision-making process, which significantly impacts the decision quality and creates the decision value in realistic situations (Akram et al 2022 ; Oztaysi et al 2022 ; Yuan et al 2021 ).…”

“…The most recent advancement in fuzzy settings, the frame of T-SF sets, uses four facets (consisting of membership grades of positivity, neutrality, negativity, and refusal) to elucidate complex uncertainties, obviate information loss, and anticipate the full manifestation of vague and ambiguous information (Chen 2022a , 2022c ). The key benefits of T-SF sets are their generality and versatility (Chen 2022b ; 2022d ; Ozceylan et al 2022 ). In particular, the main advantages of the T-SF framework can be concretized by a generalization of some existing higher-order fuzzy sets.…”

“…Natural language expressions in T-SF settings are also beneficial for identifying the qualitative evaluation of unclear data (Akram et al 2023 ; Naz et al 2022 ; Wang 2022 ). T-SF theory can produce a successful decision-making technique for assessing and choosing options in sophisticated fuzzy environments through varied T-SF decision-analysis tools created by numerous academics (Abid et al 2022 ; Chen 2022b ; 2022d ; Karaaslan and Al-Husseinawi 2022 ; Yang and Pang 2022 ).…”

An Uncertain Multiple-Criteria Choice Method on Grounds of T-Spherical Fuzzy Data-Driven Correlation Measures

“…As a result, several high-order fuzzy sets, such as uncertain sets involving intuitionistic, Pythagorean, q-rung orthopair, picture, spherical, and T-spherical fuzziness, have been successively advanced to appropriately manifest human subjective uncertainties in practice (Chen, 2022a(Chen, , 2022bLiu et al, 2021c). In particular, the idea of T-spherical fuzzy (T-SF) sets, incipiently presented by Mahmood et al (2019), can help bring the theoretical development and revolutionary implications according to its strengths of broadening the uncertain space via four parameters of impreciseness, thus composing favourable, neutral (so-called abstinence), unfavourable, and refusal evaluations (Alsalem et al, 2021;Chen, 2022c;Wang and Zhang, 2022;Yang and Pang, 2022).…”

Three-Way Group Decisions with Incomplete Spherical Fuzzy Information for Treating Parkinson’s Disease Using IoMT Devices

“…In summary, SFSs improve the accuracy of information depictions in decision-making problems and lay a solid foundation for subsequent information fusion and analysis. Based on the above advantages in information depictions, SFSs have been utilized to address a series of intelligent decision issues in recent years [22][23][24][25][26]. In addition, most of existing studies on SFSs are under complete ISs, whereas IISs are common in real life; thus, this paper is aimed at building MG SF IISs for handling missing information.…”