Circular Intuitionistic Fuzzy Sets in Multi Criteria Decision Making

Çakır, Esra; Ma, Tas; Ulukan, Ziya

doi:10.1007/978-3-030-92127-9_9

Cited by 16 publications

(5 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For this, Atanassov [15] exposed a novel extension of IFSs, called circular IFSs (Cir-IFSs) in which Cir-IFSs not only cover the truth and falsity grades, but also a radius around the circle of each element. These Cir-IFSs had gotten more applications, such as [16][17][18]. Additionally, Bozyigit et al [19] gave the extension of Cir-IFSs to circular PyFSs (Cir-PyFSs) in which Cir-PyFSs contain the truth and falsity grades with radius, but replace the condition of 0 ≤ _ _________________________________________________________________________________________________________________ 2 𝕋 𝒞 ℱ (𝓍) + 𝔽 𝒞 ℱ (𝓍) ≤ 1 with the condition of 0 ≤ 𝕋 𝒞 ℱ 2 (𝓍) + 𝔽 𝒞 ℱ 2 (𝓍) ≤ 1.…”

Section: Introductionmentioning

confidence: 99%

Circular Pythagorean Fuzzy Hamacher Aggregation Operators With Application in the Assessment of Goldmines

Ali,

Yang

2024

IEEE Access

View full text Add to dashboard Cite

The circular Pythagorean fuzzy (Cir-PyF) sets (Cir-PyFs) not only contain the membership and nonmembership grades, but also have the radius around the circle of each element. Cir-PyFSs can cope with many reallife problems. In this paper, we consider the Hamacher t-norm and t-conorm operational laws for any two Cir-PyF numbers (Cir-PyFNs) and describe their exceptional cases such as algebraic and Einstein operational laws. Furthermore, the Cir-PyF Hamacher averaging (Cir-PyFHA) operator, Cir-PyF Hamacher ordered averaging (Cir-PyFHOA) operator, Cir-PyF Hamacher geometric (Cir-PyFHG) operator, and Cir-PyF Hamacher ordered geometric (Cir-PyFHOG) operator are proposed. Some properties for the above operators are also discussed in detail. Moreover, to select the simplest and best procedure for evaluating the source of gold in mines, we illustrate the application of the multi-attribute decision-making (MADM) technique based on the derived operators. Finally, we demonstrate some examples for comparing the proposed operators with some existing methods to expand the attraction of the proposed way.

show abstract

Section: Introductionmentioning

confidence: 99%

Circular Pythagorean Fuzzy Hamacher Aggregation Operators With Application in the Assessment of Goldmines

Ali,

Yang

2024

IEEE Access

View full text Add to dashboard Cite

show abstract

“…An integrated MCDA technique that combines the C-IF AHP and VIKOR is suggested in the work [21]. Circular IFSs are applied in Multi-Criteria Decision Making in [13]. The development of Circular Intuitionistic Fuzzy Multicriteria Analysis (C-IFFr) for Petrol Station Franchisor Selection is presented in [29].…”

Section: Introductionmentioning

confidence: 99%

An Elliptic Intuitionistic Fuzzy Model for Franchisor Selection

Traneva,

Tranev

2023

Annals of Computer Science and Information Systems

View full text Add to dashboard Cite

Choosing a successful franchise company in the everchanging business environment is a challenge for any investor. The work suggests the creation of an optimal algorithm (E-IFFr) for selecting a franchise company using the concepts of index matrices and elliptic intuitionistic fuzzy sets for modeling this variability in the business environment to optimally solve this optimal problem with elliptic intuitionistic fuzzy parameters. The E-IFFr approach involves experts with dynamic ranks performing evaluations by the selection criteria while also taking into consideration the relative importance of the criteria for each investor. The efficacy of the suggested strategy is demonstrated by a numerical example of the best franchisor selection for the courier business. In an optimistic, average, and pessimistic scenario, the investor has three options to choose from.

show abstract

“…As an illustration in a two-dimensional space, the C-IF conformation is delineated as a high-order uncertain set in which elements in a given finite universe of discourse enjoy the degrees of membership and nonmembership, surrounded by a circle of radius parameter in such a manner that the degrees of membership plus nonmembership do not exceed 1 within this circle (Boltürk and Kahraman 2022 ; Kahraman and Alkan 2021 ; Otay and Kahraman 2021 ). C-IF sets can be efficaciously utilized in MCDA domains because their distinct characteristics can significantly manipulate convolutedly ambiguous information and assist existing MCDA models in obtaining more accurate outcomes, such as a C-IF vlsekriterijumska optimizacija i kompromisno resenje (VIKOR) to treat a waste disposal location selection issue (Kahraman and Otay 2022 ), an integrated C-IF analytic hierarchy process (AHP) with VIKOR for a multiple expert supplier evaluation problem (Otay and Kahraman 2021 ), a C-IF decision-making approach through the medium of new defuzzification functions for selecting a health tourism center (Çakır and Taş 2021 ), a defuzzification and score function-based C-IF decision method for a landfill site selection issue (Çakır et al 2021 ), an assessment technique predicated on IF and C-IF sets for evaluating human capital and research indices (Imanov and Aliyev 2021 ), a present-worth-analysis method grounded in interval-valued IF and C-IF sets for analyzing a water treatment device task (Boltürk and Kahraman 2022 ), an integrated C-IF AHP approach for assessing remote work adaptation in the midst of the Coronavirus Disease-2019 (COVID-19) pandemic (Çakır and Taş 2022 ), and an assessment procedure involving C-IF information for selecting industrial symbiotic enterprises (Çakır et al 2022 ).…”

Section: Introductionmentioning

confidence: 99%

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

Chen

2022

Artif Intell Rev

View full text Add to dashboard Cite

Circular intuitionistic fuzzy (C-IF) sets are an up-and-coming tool for enforcing indistinct and imprecise information in variable and convoluted decision-making situations. C-IF sets, as opposed to typical intuitionistic fuzzy sets, are better suited for identifying the evaluation data with uncertainty in intricate realistic decision situations. The architecture of the technique for order preference by similarity to ideal solutions (TOPSIS) provides powerful evaluation tools to aid decision-making in intuitionistic fuzzy conditions. To address appraisal issues associated with decision analysis involving extremely convoluted information, this paper propounds a novel C-IF TOPSIS approach in the context of C-IF uncertainty. This research makes three significant contributions. First, based on the three- and four-term operating rules, this research introduces C-IF Minkowski distance measures, which are new generalized representations of distance metrics applicable to C-IF values and C-IF sets. Such general C-IF distance metrics can alleviate the constraints of established C-IF distance measures, provide usage resiliency through parameter settings, and broaden the applicability of metric analysis. Second, unlike existing C-IF TOPSIS methods, this research fully utilizes C-IF information characteristics and extends the core structure of the classic TOPSIS to C-IF contexts. With the newly developed C-IF Minkowski metrics, this study faithfully demonstrates the trade-off evaluation and compromise decision rules in the TOPSIS framework. Third, this research builds on the core strengths of the pioneered C-IF Minkowski distance measures to create innovative C-IF TOPSIS techniques utilizing four different combinations, including displaced and fixed anchoring frameworks, as well as three- and four-term representations. Such a refined C-IF TOPSIS methodology can assist decision-makers in proactively addressing increasingly sophisticated decision-making problems in practical settings. Finally, this research employs two innovative prioritization algorithms to address a site selection issue of large-scale epidemic hospitals to illustrate the superior capabilities of the C-IF TOPSIS methodology over some current related approaches.

show abstract

Circular Intuitionistic Fuzzy Sets in Multi Criteria Decision Making

Cited by 16 publications

References 21 publications

Circular Pythagorean Fuzzy Hamacher Aggregation Operators With Application in the Assessment of Goldmines

Circular Pythagorean Fuzzy Hamacher Aggregation Operators With Application in the Assessment of Goldmines

An Elliptic Intuitionistic Fuzzy Model for Franchisor Selection

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

Contact Info

Product

Resources

About