The Likelihood Ranking Methods for Interval Type-2 Fuzzy Sets Considering Risk Preferences

Zhao, Meng; Qin, Song-song; Li, Qi-wang; Lu, Fuqiang; Shen, Zhe

doi:10.1155/2015/680635

Cited by 7 publications

(5 citation statements)

References 32 publications

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“…Several authors extended their research in FTOPSIS, such as Chen [9] extended TOPSIS under fuzziness, interval-valued fuzzy number ( [10,11]), Boran et al [12] extended Chen's methods [10,11] to intuitionistic fuzzy number, and Park et al [13] extended Boran et al [12] methods to interval-valued intuitionistic fuzzy number. Moreover, Chen and Lee [14] developed an interval type-2 [15] and its extension proposed by Dymova et al [16], which is the same approach utilised by Deveci et al [5]. Roszkowska and Kacprzak [17] extended the aforementioned fuzzy TOPSIS methods based on ordered fuzzy numbers.…”

Section: Introductionmentioning

confidence: 99%

Comparative Ranking Preferences Decision Analysis through a Novel Fuzzy TOPSIS Technique for Vehicle Selection

Dharmalingam,

Mahapatra,

Georgise

et al. 2024

Journal of Engineering

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Acquiring a vehicle or financing its purchase is often considered a luxury, particularly for middle-class households. In addition to their primary concern, consumers prioritize distinguishing elements such as vehicle type, size, capacity, engine power, fuel efficiency, safety features, and life-cycle costs. Furthermore, the choice of vehicle has multiple factors and is contingent upon the financial prosperity of the household, allowing for precise expression. The decision-making process is complex and entails selecting the most appropriate alternatives. This study proposes a novel fuzzy technique for order of preference by similarity to the ideal solution (FTOPSIS) method to solve vehicle selection multi-criteria decision-making (MCDM) problems. Decision-makers express their opinions on each alternative and criterion in linguistic terms, in terms of generalized interval type-2 trapezoidal fuzzy numbers (GIT2TrFNs). The FTOPSIS process involved utilizing the defuzzification of GIT2TrFNs to acquire the normalization matrix. Finally, the proposed approach prioritizes the options and chooses the best vehicle when faced with conflicting criteria, as illustrated through a numerical illustration.

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Section: Introductionmentioning

confidence: 99%

Comparative Ranking Preferences Decision Analysis through a Novel Fuzzy TOPSIS Technique for Vehicle Selection

Dharmalingam,

Mahapatra,

Georgise

et al. 2024

Journal of Engineering

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“…In various fields, such as computer science, business administration, medical diagnostics, and enterprise management, strategic decision-making tools play a crucial role, especially in dynamic market product selection. Each attribute involved in decision-making plays a unique and influential role, often leading to different attribute weights in the framework of MADM [3,4]. The Mathematics 2023, 11, 4616 2 of 23 utilization of fuzzy sets (FS) is imperative in addressing the complexities and uncertainties inherent in real-world decision-making.…”

Section: Introduction 1backgroundmentioning

confidence: 99%

Selection of Optimal Approach for Cardiovascular Disease Diagnosis under Complex Intuitionistic Fuzzy Dynamic Environment

Alghazzawi,

Liaqat,

Razaq

et al. 2023

Mathematics

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Cardiovascular disease (CVD) is a leading global health concern. There is a critical need for accurate and reliable decision-making tools to select the optimal approach for diagnosing cardiovascular disease (CVD). In this study, we have addressed this pressing issue. Complex intuitionistic fuzzy set (CIFS) theory is adept at encapsulating vagueness due to its capability to encompass comprehensive problem specifications characterized by both intuitionistic uncertainty and periodicity. Within the scope of this article, we present two novel aggregation operators: the complex intuitionistic fuzzy dynamic weighted averaging (CIFDWA) operator and the complex intuitionistic fuzzy dynamic weighted geometric (CIFDWG) operator. Some intriguing characteristics of these operators are elucidated, and important special cases are also defined in detail. We devise an enhanced score function to rectify the deficiencies observed in the existing score function under complex intuitionistic fuzzy knowledge. Furthermore, these operators are employed in the development of a systematic approach for the handling of multiple attribute decision-making (MADM) scenarios involving complex intuitionistic fuzzy data. Moreover, we undertake the resolution of an MADM problem, wherein we ascertain the optimal approach for diagnosing cardiovascular disease (CVD) through the utilization of the proposed operators, thereby substantiating their utility in decision-making processes. Finally, we conduct a comprehensive comparative analysis, pitting the presented operators against an array of existing counterparts, in order to demonstrate the reliability and stability inherent in the derived methodologies.

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“…Multi-criteria Decision Making (MCDM) is an essential element in modern decision science [3] and offers an optimal framework for investigating this subject. The complexity of decision-making has led to uncertainty and difficulty in determining the qualities of possibilities [4]. Zadeh was the first to propose type-1 fuzzy sets (T1FS) and type-2 fuzzy sets (T2FS) [5,6].…”

Section: Introductionmentioning

confidence: 99%

Fuzzy Techniques and Adjusted Mixture Design-Based Scenario Analysis in the CLMV (Cambodia, Lao PDR, Myanmar and Vietnam) Subregion for Multi-Criteria Decision Making in the Apparel Industry

Aungkulanon,

Atthirawong,

Sangmanee

et al. 2023

Mathematics

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This research paper presents an all-encompassing methodology for multi-criteria decision-making in the apparel sector, with the particular objective of aiding in the determination of the most appropriate location within the CLMV subregion. The research is conducted in three crucial stages. The process began with the administration of a survey to proprietors of garment businesses in both Thailand and the CLMV countries. This survey resulted in the compilation of an exhaustive list of site-selection criteria and sub-criteria. Based on the findings of subject matter-expert interviews, Cambodia (C), Vietnam (V), and Myanmar (M) were identified as feasible alternatives. Subsequently, the questionnaire criteria and sub-criteria were evaluated utilizing the Fuzzy Analytic Network Process (Fuzzy ANP), which involved the utilization of meticulously designed pair-wise comparison matrices and local priorities. Five specialists from the Thai entrepreneurial community affirmed the effectiveness of Fuzzy ANP and expressed interest in expanding manufacturing operations in the CLMV subregion. The optimal location for Thai apparel manufacturers was subsequently determined using the Fuzzy Technique for Order of Preference by Similarity to Ideal Solution (Fuzzy TOPSIS). The results indicated that Vietnam is the most favorable option. In order to improve the dependability of results, an amended mixture-design scenario analysis was implemented. This analysis assessed the sensitivity and dependability of the proposed model in different scenarios, ensuring its applicability in real-world situations. In contrast to traditional models, this study integrates managerial judgments and preferences into the decision-making procedure, thereby accounting for the complex interdependencies among numerous criteria. The suggested methodology functions as a beneficial instrument for decision-makers, both domestic and international, as it integrates effortlessly into the organizational structure of the CLMV region. By harmonizing objectives pertaining to data acquisition, manipulation, retention, and dissemination, this framework not only enables enhanced decision-making processes, but also optimizes system efficiency.

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The Likelihood Ranking Methods for Interval Type-2 Fuzzy Sets Considering Risk Preferences

Cited by 7 publications

References 32 publications

Comparative Ranking Preferences Decision Analysis through a Novel Fuzzy TOPSIS Technique for Vehicle Selection

Comparative Ranking Preferences Decision Analysis through a Novel Fuzzy TOPSIS Technique for Vehicle Selection

Selection of Optimal Approach for Cardiovascular Disease Diagnosis under Complex Intuitionistic Fuzzy Dynamic Environment

Fuzzy Techniques and Adjusted Mixture Design-Based Scenario Analysis in the CLMV (Cambodia, Lao PDR, Myanmar and Vietnam) Subregion for Multi-Criteria Decision Making in the Apparel Industry

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