Multi-criteria decision making method based on interval-valued intuitionistic fuzzy sets

Priyadharsini, J.; Balasubramaniam, P.

doi:10.1007/s41478-018-0122-5

Cited by 12 publications

(6 citation statements)

References 28 publications

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“…In this article, we review the existing score and accuracy functions defined by the authors Bai [3], Garg [6], Joshi and Kumar [7], Nayagam et al [8,9], Priyadharsini and Balasubramaniam [11], Sahin [12], Wang and Chen [13,14], Xu [15], Ye [16], Zhang and Xu [18], Zhang et al [19], and Nguyen [10], and some counter examples are presented to show the shortcomings of the existing score and accuracy functions. From the results of the counter examples, it has been concluded that the existing score and accuracy functions do not work perfectly and are unable to rank the IVIFNs.…”

Section: Discussionmentioning

confidence: 99%

“…Nayagam et.al [9] developed a non-hesitance score function for ranking of IVIFNs that overcomes the drawbacks of Nayagam et al [8], Sahin [12], Ye [16], Zhang and Xu [18]. Joshi and Kumar [7], Priyadharsini and Balasubramaniam [11] defined a score and accuracy function for IVIFNs respectively. Wang and Chen [13] defined a score function and a DM approach for handling the MADM issues that overcomes the flaws of DM approach given by [4].…”

Section: Introductionmentioning

confidence: 99%

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Shortcomings Of Existing Ranking Methods For Interval-Valued Intuitionistic Fuzzy Numbers

2019

JEMM

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Ranking of alternatives plays an important role in the decision-making (DM) problems. There are lots of methods for ranking of interval-valued intuitionistic fuzzy numbers (IVIFNs) in literature. Therefore, the main objective of this study is to review the existing score and accuracy functions of IVIFNs and to find the shortcomings where these functions are unable to rank the numbers. This study gives a platform to develop a new ranking method for IVIFNs in future.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Shortcomings Of Existing Ranking Methods For Interval-Valued Intuitionistic Fuzzy Numbers

2019

JEMM

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“…Health information literacy includes both the information skills of information literacy and the health awareness and behavior of health literacy [26]. is paper summarizes its connotations as follows: First, have the awareness of health information literacy and be able to correctly understand the needs of health information; second, use one's own knowledge to understand and obtain health information, and identify possible sources of information; third, identify high-quality health information and judge health information quality and usability; fourth, integrate own knowledge reserves, analyze, and understand information; fifth, use information to make health decisions and solve health problems [27,28]. On this basis, this paper believes that it can be summarized from six aspects: first, health knowledge information, which is the basis for obtaining health information literacy; second, health information needs, for the daily and special needs of the public; third, health information concepts and concepts, that is, health information needs and awareness; the fourth is health information skills, which is the ability to process and process health information; the fifth is health information utilization ability (health behavior), which refers to the health behavior that achieves self-realization through the application of health information; the sixth is health information background, It is a general term for the environment related to health information.…”

Section: Rural Residents' Health Information Literacy Assessment Modelmentioning

confidence: 99%

Evaluation of Health Information Literacy of Rural Community Residents Based on Intuitionistic Fuzzy Set Multicriteria

Xiao-yan

San-qing

Zuo

2022

Mathematical Problems in Engineering

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According to the constructed rural community residents’ health information literacy evaluation system, this paper proposes a rural community residents’ health information literacy evaluation method based on intuitionistic fuzzy sets. Based on the intuitionistic fuzzy set, the multistage interactive group evaluation method whose data form is a point set has been expanded, and the intuitionistic fuzzy set that expresses objective things more delicately and truly is used to reflect the evaluator’s preference, which can well simulate the human decision-making psychology and improve the applicability of the interactive group evaluation method. How to accurately measure the value information of relevant intuitionistic fuzzy numbers in uncertain environment has become a difficult problem. Therefore, it is very important to excavate important information in intuitionistic fuzzy numbers, deal with intuitionistic fuzzy numbers, and study the theory and method of multicriteria decision-making under fuzzy information. In this paper, we conducted a research on the health information literacy evaluation model of rural community residents based on intuitionistic fuzzy sets and multicriteria, and found that the formation rate of health behaviors of manual workers is relatively low, and the formation rate of healthy behaviors of female, elderly, and highly educated people is relatively high. A high level of education is conducive to improving the level of residents’ health knowledge.

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“…By integrating IFS and IVFS, Atanassov [19][20][21] proposed the interval-valued intuitionistic fuzzy set (I-VIFS), where membership degree and nonmembership degree are described by interval numbers. Interval-valued intuitionistic fuzzy sets and their extensions are widely used in multicriteria decision-making [23][24][25][26][27][28][29] or group decision-making problems [30][31][32][33]. Definition 2.…”

Section: Interval-valued Intuitionistic Fuzzy Sets-theoretical Backgroundmentioning

confidence: 99%

Interval-Valued Intuitionistic Fuzzy Synthetic Measure (I-VIFSM) Based on Hellwig’s Approach in the Analysis of Survey Data

Roszkowska

Jefmański

2021

Mathematics

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Several complex phenomena are measured with the use of tools in the form of a questionnaire where the values of criteria are assessed by the respondents using ordinal scales. Therefore, a special method of construction of synthetic measure is needed which takes into account the fact that such measurement scale allows only to determine the relationship between the states of objects: diversity, equality, minority, and majority. The main goal of this study is to propose a synthetic measure based on Hellwig’s approach and the interval-valued intuitionistic fuzzy set theory which allows to measure complex social phenomena under uncertainty, including data from questionnaire surveys. First, the method of converting ordinal data from questionnaires to interval-valued intuitionistic fuzzy sets (I-VIFS) is proposed. Next, the method of constructing a synthetic measure for I-VIFS is presented. Finally, through this synthetic measure, the optimism coefficient is defined, which allows to set the limits of the intervals for I-VIFS parameters. The usefulness of the proposed approach is showed using the results of a questionnaire survey of the subjective quality of life of inhabitants of selected communes in Poland. Results indicate that the synthetic measure is suitable and effective to evaluate complex phenomena based on ordinal data from questionnaire surveys under the conditions of measurement uncertainty. Moreover, the use of the concept of the optimism coefficient increases the flexibility of its application.

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Multi-criteria decision making method based on interval-valued intuitionistic fuzzy sets

Cited by 12 publications

References 28 publications

Shortcomings Of Existing Ranking Methods For Interval-Valued Intuitionistic Fuzzy Numbers

Shortcomings Of Existing Ranking Methods For Interval-Valued Intuitionistic Fuzzy Numbers

Evaluation of Health Information Literacy of Rural Community Residents Based on Intuitionistic Fuzzy Set Multicriteria

Interval-Valued Intuitionistic Fuzzy Synthetic Measure (I-VIFSM) Based on Hellwig’s Approach in the Analysis of Survey Data

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