Choquet Integral Versus Weighted Sum in Multicriteria Decision Contexts

Lust, Thibaut

doi:10.1007/978-3-319-23114-3_18

Cited by 8 publications

(7 citation statements)

References 21 publications

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“…As a convenient aggregation operator, CI, hereafter, the "Choquet method" accounts for the non-additive utility decisions with rigorous mathematics (Gilboa and Schmeidler 1994). Although introduced in various fields, including decision theory, statistical mechanics, and image processing (Lust 2015), the CI is unknown in real estate. The fuzzy logic process, sometimes appearing as a component in the CI, has been considered in real estate management and investment risks (Sunt et al 2003;Barranco et al 2004).…”

Section: Choquet Methods In Real Estatementioning

confidence: 99%

Property valuation based on Choquet integral

Özdilek

2020

Comp. Appl. Math.

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The property valuation is classically challenged by the weighting of attributes and observed prices of properties. Modern approaches, using statistical potential, optimization, and rich data increased expectations for better results. Although the practitioners recognize that, they prefer accessible estimations with the convenience of interpreting them like in the sales comparison adjustment-grid. The weighting process is thus either weak in practice or complex in modeling culture. The challenge mainly originates from the incoherencies, sometimes significant, between the negotiated prices and the utility reward (contribution) of attributes. Economic agents take decisions under uncertainty, essentially influenced by their subjective expectations, capacity of evaluation and ability of using reliable information. Therefore, existing approaches suffer from properly addressing these issues of valuation. In this paper, we are motivated to improve these issues based on Choquet integral (CI) and fuzzy logic, well-known in Multiple-criteria decision-making (MCDM) problems. In comparison to the available classic (Adjustment-grid) and statistical approaches (like OLS regressions), the method we develop objectively and accurately weights the contribution of property attributes and the adjusted prices in market value estimations. Based on empirical experiments in caseby-case and mass valuation of single-family properties in Montreal (Canada), the results are encouraging and support its reliability.

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Section: Choquet Methods In Real Estatementioning

confidence: 99%

Property valuation based on Choquet integral

Özdilek

2020

Comp. Appl. Math.

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“…The CI is substantially more powerful than the WAM at performing orders, as shown in [14], and the difference grows as the number of members in the set grows. Furthermore, in comparison to the WAM, it has been shown in [11] that as the finite set's number of elements grows, the likelihood of finding a higher optimum ranking in the CI grows. In fact, fuzzy measures (FMs) and fuzzy integrals allow us to regard preferences that are not reflected in the weights in the WAM [23].…”

Section: Introductionmentioning

confidence: 99%

Cosine and Cotangent Similarity Measures Based on Choquet Integral for Spherical Fuzzy Sets and Applications to Pattern Recognition

Ünver

Olgun

Türkarslan

2022

JCCE

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The notion of trigonometric similarity measures (SMs) for spherical fuzzy sets has become very important in solving various problems in pattern recognition and medical diagnosis. This study proposes some trigonometric SMs with the help of Choquet integral (CI) for spherical fuzzy sets. The proposed trigonometric SMs clearly satisfy the axiomatic definition of classical SMs. We also perform these SMs in pattern recognition problems to examine a comparative analysis of the proposed trigonometric SMs with some existing SMs. Spearman's rank correlation coefficient is utilized to demonstrate the effectiveness of the proposed SMs.

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“…In [3], it is shown that the Choquet integral performs noticeably more orders than the weighted arithmetic mean and that the difference gets larger when the number of the elements of the set gets larger. Furthermore, it has been proved in [4] that when the number of the element of the finite set increases, the probability of getting more optimal ranking in the Choquet integral increases compared to the weighted arithmetic mean. Actually, fuzzy measures and Choquet integral let us take the preferences that are not considered in the weighted arithmetic mean into account [5].…”

Section: Introductionmentioning

confidence: 99%

A Vector Valued Similarity Measure Based on the Choquet Integral for Intuitionistic Fuzzy Sets and Its Application to Pattern Recognition

Türkarslan

Ünver

Olgun

2021

Intelligent and Fuzzy Techniques for Emerging Conditions and Digital Transformation

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The concept of Choquet integral that a special ordered weighted averaging operator (OWA) is an aggregation function and it generalizes the concepts of arithmetic and the weighted mean. This concept allows us to model interaction between criteria with the help of a fuzzy measure. Our aim is to combine fuzzy set theory and fuzzy measure theory by using the concept of Choquet integral. In this study, we propose a vector valued similarity measure for intuitionistic fuzzy sets (IFSs) based on the Choquet integral. This vector valued similarity measure consists of a pair of a similarity measure which is obtained from a distance measure for IFSs and an uncertainty measure. In this context, we provide a more effective tool by introducing the interaction between criteria with the help of fuzzy measure. Finally, we support the efficiency of our work with explanatory numerical examples.

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Choquet Integral Versus Weighted Sum in Multicriteria Decision Contexts

Cited by 8 publications

References 21 publications

Property valuation based on Choquet integral

Property valuation based on Choquet integral

Cosine and Cotangent Similarity Measures Based on Choquet Integral for Spherical Fuzzy Sets and Applications to Pattern Recognition

A Vector Valued Similarity Measure Based on the Choquet Integral for Intuitionistic Fuzzy Sets and Its Application to Pattern Recognition

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