Circular n,m-rung orthopair fuzzy sets and their applications in multicriteria decision-making

Demonstratio Mathematica, Journal Year: 2025, Volume and Issue: 58(1)

Published: Jan. 1, 2025

Abstract The circular Pythagorean fuzzy set is an expansion of the intuitionistic (CIFS), in which each component represented by a circle. Nevertheless, even though CIFS improves representation, it still restricted to inflexible interpretation triangle (IFIT) space, where square sum membership and nonmembership environment cannot exceed one. To overcome this restriction, we provide fresh extension called n,m -rung orthopair (C -ROFS), allows IFIT region be expanded or contracted while maintaining features CIFS. Consequently, decision makers can assess items over wider more flexible range when using C -ROFS, allowing for making delicate decisions. In addition, define several basic algebraic arithmetic operations on such as intersection, union, multiplication, scalar discuss their key characteristics together with some known relations -ROFS. present study new weighted average/geometric aggregation operators properties. Further, strategy resolving multicriteria decision-making problems -ROF provided. suggested tested two situations: best teacher selection problem school problem. confirm illustrate efficacy methodology, comparative analysis average, geometric, q-rung averaging, geometric PFWA mathvariant="normal">max {{\rm{PFWA}}}_{{\rm{\max }}} , mathvariant="normal">min {{\rm{PFWA}}}_{{\rm{\min approaches also carried out. Ultimately, final section, there are discussions ideas future research.

Language: Английский

---

Artificial intelligence-based intelligent computing using circular q-rung orthopair fuzzy information aggregation

AIMS Mathematics, Journal Year: 2025, Volume and Issue: 10(2), P. 3062 - 3094

Published: Jan. 1, 2025

Language: Английский

---

Three-way Decision Approach Based on Utility and Dynamic Localization Transformational Procedures within a Circular q-Rung Orthopair Fuzzy Set for Ranking and Grading Large Language Models

Cognitive Computation, Journal Year: 2025, Volume and Issue: 17(2)

Published: March 7, 2025

Language: Английский

---

Adaptive solutions for metaverse urban mobility through decision-making and blockchain

Alexandria Engineering Journal, Journal Year: 2024, Volume and Issue: 107, P. 1 - 14

Published: July 16, 2024

Language: Английский

---

An Online Review-Driven Picture Fuzzy Multi-Criteria Group Decision-Making Approach for Evaluating the Online Medical Service Quality of Doctors

Symmetry, Journal Year: 2024, Volume and Issue: 16(6), P. 639 - 639

Published: May 21, 2024

In order to further investigate the level of online medical services in China and improve experience patients, this study aims establish an review-driven picture fuzzy multi-criteria group decision-making (MCGDM) approach for service evaluation doctors. First, based on Aczel–Alsina t-norm t-conorm, normal operations involving a variable parameter are defined make corresponding more flexible than other operations. Second, two aggregation operators developed, properties discussed as well. Third, combined with review information China’s platform Haodaifu, attributes their weights obtained, which can model objective. Fourth, extended complex proportional assessment (COPRAS) method quality is proposed. Finally, empirical example presented verify feasibility validity proposed method. A sensitivity analysis comparison also conducted demonstrate effectiveness flexibility approach.

Language: Английский

---

Analysis of Hamacher Power Aggregation Operators for Circular Complex p, q-Quasirung Orthopair Fuzzy 2-Tuple Linguistic Sets and their Application in Green Industry Development

Heliyon, Journal Year: 2024, Volume and Issue: 10(17), P. e36799 - e36799

Published: Aug. 26, 2024

Green industry development focuses on balancing economic and financial growth with environmental stewardship ensuring that companies industries are contributing positively to both sustainability prosperity. This manuscript aims develop the novel technique of circular complex p, q-quasirung orthopair fuzzy 2-tuple linguistic (CCp, q-QOF2-TL) set their operational laws based algebraic t-norms Hamacher t-norms, where Einstein special cases for parameter

Language: Английский

---

A Confidence-Interval Circular Intuitionistic Fuzzy Method for Optimal Master and Sub-Franchise Selection: A Case Study of Pizza Hut in Europe

Axioms, Journal Year: 2024, Volume and Issue: 13(11), P. 758 - 758

Published: Oct. 31, 2024

Effective franchise selection is crucial for global brands like Pizza Hut to maintain consistent quality and operational excellence amidst a competitive landscape. This paper introduces novel confidence-interval circular intuitionistic fuzzy set (CIC-IFS) framework, designed address the intricate challenges of master sub-franchise in European market. By integrating competence coefficients decision-makers into final evaluations, model allows more accurate representation expert judgments. Decision-makers can choose from various scenarios, ranging super pessimistic optimistic, using ten forms aggregation operations over index matrices. The proposed approach leverages confidence intervals within paradigm capture uncertainty, vagueness, hesitancy inherent decision-making process. A case study involving Hut’s demonstrates model’s efficacy differentiating potential franchisees identifying those best aligned with brand’s values. results indicate significant improvement accuracy compared traditional methods other approaches, thereby enabling make informed decisions solidify its market position.

Language: Английский

---

Robust three-way decisions based on ensembled multi-divergence measures with circular quintic fuzzy sets for developing swarm robots in mechanised agricultural operations

Expert Systems with Applications, Journal Year: 2024, Volume and Issue: unknown, P. 126102 - 126102

Published: Dec. 1, 2024

Language: Английский

---