NDLI: Multiple-Attribute Decision Making Based on Interval-Valued Intuitionistic Fuzzy Generalized Weighted Heronian Mean

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Multiple-Attribute Decision Making Based on Interval-Valued Intuitionistic Fuzzy Generalized Weighted Heronian Mean

Content Provider	MDPI
Author	Hu, Ximei Yang, Shuxia Zhu, Ya-Ru
Copyright Year	2022
Description	Due to the complexity and uncertainty of objective things, interval-valued intuitionistic fuzzy (I-VIF) numbers are often used to describe the attribute values in multiple-attribute decision making (MADM). Sometimes, there are correlations between the attributes. In order to make the decision-making result more objective and reasonable, it is often necessary to take the correlation factors into account. Therefore, the study of MADM based on the correlations between attributes in the I-VIF environment has important theoretical and practical significance. Thus, in this paper, we propose new operators (AOs) for I-VIF information that are able to reflect the completeness of the information, attribute relevance, and the risk preference of decision makers (DMs). Firstly, we propose some new AOs for I-VIF information, including I-VIF generalized Heronian mean (I-VIFGHM), I-VIF generalized weighted Heronian mean (I-VIFGWHM), and I-VIF three-parameter generalized weighted Heronian mean (I-VIFTPGWHM). The properties of the obtained operators, including their idempotency, monotonicity, and boundedness are studied. Furthermore, an MADM method based on the I-VIFGWHM operator is provided. Finally, an example is provided to explain the rationality and feasibility of the proposed method.
Starting Page	138
e-ISSN	20782489
DOI	10.3390/info13030138
Journal	Information
Issue Number	3
Volume Number	13
Language	English
Publisher	MDPI
Publisher Date	2022-03-07
Access Restriction	Open
Subject Keyword	Information Artificial Intelligence Interval-valued Intuitionistic Fuzzy Generalized Heronian Mean Interval-valued Intuitionistic Fuzzy Generalized Weighted Heronian Mean Interval-valued Intuitionistic Fuzzy Three-parameter Generalized Weighted Heronian Mean Multiple-attribute Decision Making
Content Type	Text
Resource Type	Article

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