Hybrid fuzzy MCDM model for Z-numbers using intuitive vectorial centroid

Khalif, Ku Muhammad Naim Ku; Gegov, Alexander; Bakar, Ahmad Syafadhli Abu

doi:10.3233/jifs-161973

Cited by 35 publications

(17 citation statements)

References 27 publications

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“…Over the past 40 years, MCDM has made remarkable progress and evolved into a mature discipline [15,[28][29][30]. It has been used in a wide range of practical applications, such as information science, engineering systems, and decision-making [8,[31][32][33][34][35][36].…”

Section: Related Workmentioning

confidence: 99%

A Revised Grey Relational Analysis Method for Multicriteria Group Decision-Making with Expected Utility Theory for Oil Spill Emergency Management

2021

Mathematical Problems in Engineering

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The substantial importance and complexity of oil spill emergency management have been confirmed by the massive, disastrous oil spill accidents that have occurred in recent years. The goal of this study is to research and develop an effective new model to accurately respond to oil spill emergencies for the purpose of disaster risk reduction. In this model, firstly, grey relational analysis is used to treat the variable and complex environment of an oil spill. Secondly, a revised grey relational analysis method based on the concept of angle between two vectors is presented to optimize assessment accuracy by measuring the similarity between the reference series and alternative series. Thirdly, by incorporating expected utility theory, a revised grey relational analysis for facilitating consensus is developed for multicriteria group decision-making. Finally, an empirical study on oil spill emergency management is discussed to demonstrate the feasibility and effectiveness of the proposed model for oil spill emergency management in a complex environment to reduce disaster risk.

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Section: Related Workmentioning

confidence: 99%

A Revised Grey Relational Analysis Method for Multicriteria Group Decision-Making with Expected Utility Theory for Oil Spill Emergency Management

2021

Mathematical Problems in Engineering

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“…Table 5 shown the second component B is a measure of reliability ofthe first component or in this study we take the confidence of their judgment, which in methodology as the researchers take the scale and approach by [5]. This number will be converted into the crisp number by using the defuzzification approach that is suggested by [9]:…”

Section: Proposed Calculation Of Z-numbersmentioning

confidence: 99%

“…It should be noted that in everyday decision making most decisions are in the form of Z-numbers. Various of researches were examined in application of Z-numbers in many areas that involve factors that are characterized by not only fuzziness, but also partial reliability, such as [4][5][6][7][8][9][10][11][12]. Their focus mainly on research of single or Multi-criteria decision-making problems and its application with Z-numbers.…”

Section: Introductionmentioning

confidence: 99%

Expert Judgment Z-Numbers as a Ranking Indicator for Hierarchical Fuzzy Logic System

Rodzman

Ismail

Rahman

et al. 2019

IJ-AI

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<p>In this article, the researchers main contribution is to investigate three factors which may correlate in implementation of Expert Judgment Z-Numbers as new Fuzzy Logic Ranking Indicator such as: expert relevance judgment or score, the expert confidence and the level of expertise. The Expert Judgment Z-Numbers then will be an input to the Hierarchical Fuzzy Logic System of Domain Specific Text Retrieval, along with other indicators such as Ontology BM25 Score, Fabrication Rate, Shia Rate and Positive Rate of hadith document. The results showed, the proposed system, with the additional new indicator of Expert Judgment Z-Numbers, may improve the original BM25 ranking function, by yielding better results on 26 queries, on all evaluation metrics that are measured in this research such as P@10, %no measures and MAP, and has achieved better results in 28 queries on P@10 alone, compared to the BM25 original score, that only yield better results in 2 queries on all evaluation metrics, and also yield better results in 4 queries on the MAP alone. The results proved that the proposed system has a capability to utilize the expert confidence and their relevant judgment that are represented in Z-Number, as an indicator to optimize the existing ranking function system and has a potential for a further research to be conducted on these domains. For the future works, the researchers would like to enhance this research by including a variety of expert’s level confidence and their judgment, also a new calculation to represent the value of Z-Numbers.</p>

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“…Extended by HFS and Z-number, Peng et al [11] presented hesitant uncertain linguistic Znumber(HULZN). On the other hand, some contribute to the conversion, computation and ranking problems of Z-numbers [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Complete Z-intuitionistic Fuzzy MULTIMOORA Method with AHP and its Application to COVID-19

Zhang

Huang

Lin

2021

Preprint

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For emergencies, the reliability of information can not be guaranteed. At the same time, due to the lack of information and knowledge, neither the criteria itself nor the credibility can be given a precise evaluation by decision-makers(DMs). Therefore, we combine intuitionistic fuzzy set and Z-number to get a new class of fuzzy set, complete Z-intuitionistic fuzzy set(CZIFS), and its degenerate form, A-type Z-intuitionistic fuzzy set(AZIFS) and B-type Z-intuitionistic fuzzy set(BZIFS). CZIFS can serve as a reliable tool to depict the hesitant degree both on the ambiguity and reliability of uncertain information. In addition, we introduce the score and accuracy functions and distance measure of complete Z-intuitionistic fuzzy number(CZIFN), with which we have considered both reliability information and DMs' preference on it. Then, we improve traditional MULTIMOORA by developing reference point(RP) model to consider both the risk and profile of alternatives and integrating analytic hierarchy process(AHP) in the process of ranking aggregation method to take into account the preference of DMs on three subordinate rankings. Besides, to solve multicriteria group decision making(MCGDM) problem, we develop improved MULTIMOORA method to the environment of CZIFN. Finally, to illustrate the proposed method, we give a numerical example, solving site selecting of Fangcang shelter hospital for COVID-19.

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Hybrid fuzzy MCDM model for Z-numbers using intuitive vectorial centroid

Cited by 35 publications

References 27 publications

A Revised Grey Relational Analysis Method for Multicriteria Group Decision-Making with Expected Utility Theory for Oil Spill Emergency Management

A Revised Grey Relational Analysis Method for Multicriteria Group Decision-Making with Expected Utility Theory for Oil Spill Emergency Management

Expert Judgment Z-Numbers as a Ranking Indicator for Hierarchical Fuzzy Logic System

Complete Z-intuitionistic Fuzzy MULTIMOORA Method with AHP and its Application to COVID-19

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