Some novel intuitionistic fuzzy information fusion methods in decision making with interaction among attributes

Mu, Zhimin; Zeng, Shouzhen

doi:10.1007/s00500-018-3600-4

Cited by 16 publications

(11 citation statements)

References 33 publications

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“…Zeng et al 23–25 defined several aggregation operators for IFS based on induced OWA operator, weighted average, new score function, and extended VIKOR method and utilized these operators in decision‐making concerns. Mu and Zeng 26 a few new IF data fusion techniques in decision‐making with intercommunication between attributes. Based on OWA operator and similarity measures, Su et al 27 defined IF decision‐making.…”

Section: Introductionmentioning

confidence: 99%

Aczel–Alsina aggregation operators and their application to intuitionistic fuzzy multiple attribute decision making

Senapati

Chen

Yager

2021

Int J of Intelligent Sys

137

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This paper describes the new intuitionistic fuzzy aggregation operators in consequence of Aczel–Alsina operations that possess certain advantages in cases of solving real life problems. We first present some new operations of intuitionistic fuzzy sets (IFSs), for example, Aczel–Alsina sum, Aczel–Alsina product, and Aczel–Alsina scalar multiplication. At that point, we create some IF aggregation operators, for example, the IF Aczel–Alsina weighted averaging operator, the IF Aczel–Alsina ordered weighted averaging operator and IF Aczel–Alsina hybrid averaging operator. We set up different properties of these operators. It is demonstrated that suggested averaging operators have the properties of idempotency, boundary, monotonicity, and commutativity. Then, we design new techniques dependent on these operators to fix multiattribute decision making issues. We present an example of human resource selection to elaborate on the performance of our proposed approach. The outcome shows the practicality and viability of the new technique. Eventually, an organized comparison between the prevailing techniques and the suggested technique has been given.

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Section: Introductionmentioning

confidence: 99%

Aczel–Alsina aggregation operators and their application to intuitionistic fuzzy multiple attribute decision making

Senapati

Chen

Yager

2021

Int J of Intelligent Sys

137

View full text Add to dashboard Cite

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“…: w j . (10) It can be observed that the proposed system of inequalities (10) slightly varied from that of the original (3), in the presence of (*), where it will ensure the ratio of the densities, g j , to comply with that of the entropy weights, w j . For example, if w 1 = 0.15, w 2 = 0.25, and w 3 = 0.6, then (*) can be expressed as g 3 = 4g 1 and g 3 = 2.4g 2 .…”

Section: Application Of Shannon Entropy Methods (Stage 22)mentioning

confidence: 99%

“…The entropy weights values, w j and λ jj . that were determined prior were then used to construct and solve the following system of inequalities (10) to derive the fuzzy density of each attribute, g j .…”

Section: Application Of Shannon Entropy Methods (Stage 22)mentioning

confidence: 99%

“…A few non-linear operators and the extended versions have been introduced recently. For example, the Bonferroni mean [7], weighted Pythagorean fuzzy interaction power Bonferroni mean [8], Zhenyuan integral [9], and Atanassov intuitionistic fuzzy Zhenyuan averaging operator [10]. However, the focus of this paper is narrowed on the Choquet integral [11], which remains as a popular non-linear operator that has been utilized widely in various areas of research spanning business management, engineering, healthcare, and transportation.…”

Section: Introductionmentioning

confidence: 99%

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An Alternate Unsupervised Technique Based on Distance Correlation and Shannon Entropy to Estimate λ0-Fuzzy Measure

2020

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λ0-measure is a special type of fuzzy measure. In the context of multi-attribute decision making (MADM), the measure can be used together with Choquet integral to model the interdependencies that usually present between the decision attributes. Unfortunately, the range of techniques available to estimate λ0-measure values is too limited i.e., only four techniques are available to this date. Besides, the review on literature shows that each of these existing techniques either requires some initial data from the decision-makers or misrepresents the actual interdependencies held by the attributes. Thus, an alternate unsupervised technique is needed for the estimation of λ0-measure values. This study has developed such a technique by integrating the idea of distance correlation and Shannon entropy. In this technique, the two inputs required to estimate λ0-measure values, namely, the interdependence degrees and fuzzy densities are determined by utilizing the distance correlation measures and entropy weights, respectively. An evaluation to rank the websites owned by five different hospitals located in Sabah, Malaysia, was conducted to illustrate the usage of the technique. A similar evaluation was also performed with a few selected MADM techniques for comparison purposes, where the proposed technique is found to have produced the most consistent ranking. From the literature perspective, this study has contributed an alternate unsupervised technique that can estimate λ0-measure values without necessitating any additional data from the decision-makers, and at the same time can better capture the interdependencies held by the attributes.

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“…erefore, a new method considering the interaction between different indexes must be found to solve the decision problem. In order to cope with the disadvantages of traditional multiattribute group decision making, the expert scoring or fuzzy evaluation method is often used to evaluate indicators, but both cause considerable information loss [37][38][39][40][41]. e traditional multigeneric group method is based on the independence of the indexes and weights [42][43][44][45].…”

Section: Introductionmentioning

confidence: 99%

A New Multicriteria Decision-Making Method for the Selection of Sponge City Schemes with Shapley–Choquet Aggregation Operators

Chi

Bai

Dong

2021

Mathematical Problems in Engineering

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The construction of sponge cities is of great strategic significance to solving the urban water resource problem in the future. According to the policy guidance of sponge city construction, the evaluation index system of sponge city construction projects is constructed. In order to overcome the interference caused by the interaction between indexes, a nonadditive measure and Shapley function are combined to determine the weights of attribute indexes, and the generalized Shapley interval-valued intuitionistic uncertain linguistic Choquet averaging (GS-IVIULCA) operator is used to calculate the comprehensive evaluation value of the schemes. On this basis, a new evaluation method of sponge city construction project selection under an uncertain information environment is presented and empirically evaluated. The results show that the index weight of rainwater collection and utilization is the largest, indicating that decision makers pay more attention to the ecological and environmental benefits of this item in the sponge city construction process.

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Some novel intuitionistic fuzzy information fusion methods in decision making with interaction among attributes

Cited by 16 publications

References 33 publications

Aczel–Alsina aggregation operators and their application to intuitionistic fuzzy multiple attribute decision making

Aczel–Alsina aggregation operators and their application to intuitionistic fuzzy multiple attribute decision making

An Alternate Unsupervised Technique Based on Distance Correlation and Shannon Entropy to Estimate λ0-Fuzzy Measure

A New Multicriteria Decision-Making Method for the Selection of Sponge City Schemes with Shapley–Choquet Aggregation Operators

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