Sveshnikov, Sergey and Bocharnikov, Victor (2007): Contextual algorithm for decision of fuzzy estimation problems with network-like structure of criteria on the basis of fuzzy measures Sugeno.
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In this article the algorithm for the decision of alternatives' estimation problems for following conditions is considered. Values of alternative's characteristics (properties) are fuzzy. They are formalized as fuzzy sets. The estimation criteria structure is network-like and is formalized as the oriented graph with one source and many drains. The alternative's estimation result is calculated in criterion-source. Connections between criteria are formalized by fuzzy measures Sugeno. Upper-level criteria are considered as contexts for lower-level criteria. Fuzzy integrals Sugeno or Choquet are used as aggregation operator. In article also the properties of fuzzy measure and fuzzy integrals (Sugeno and Choquet) are analyzed. Properties of fuzzy measure and integrals are comparing with properties of other mathematical tools. As example the car's estimation problem is presented.
|Item Type:||MPRA Paper|
|Original Title:||Contextual algorithm for decision of fuzzy estimation problems with network-like structure of criteria on the basis of fuzzy measures Sugeno|
|English Title:||Contextual algorithm for decision of fuzzy estimation problems with network-like structure of criteria on the basis of fuzzy measures Sugeno|
|Keywords:||fuzzy measure (Sugeno); fuzzy integral (Sugeno and Choquet); alternatives estimation; criteria structure|
|Subjects:||C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C13 - Estimation: General
C - Mathematical and Quantitative Methods > C6 - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling > C63 - Computational Techniques; Simulation Modeling
C - Mathematical and Quantitative Methods > C0 - General > C02 - Mathematical Methods
|Date Deposited:||16. Jun 2010 19:15|
|Last Modified:||19. Feb 2013 00:03|
Ceberio M. and Modave F., 2004. An Interval-valued, 2-additive Choquet Integral for Multicriteria Decision Making, 10th Conf. on Information Processing and Management of Uncertainty in Knowledge-based Systems (IPMU), July 2004, Perugia, Italy.
Choquet G., 1953 Theory of capacities. Annales de l'Institut Fourier, 5:131.295, 1953.
Denguir-Rekik Afef, Montmain Jacky, Mauris Gilles, 2006. A fuzzy-valued Choquet-integral-based multi-criteria decision-making support for marketing and benchmarking activities in e-commerce organizations, MCDM, Chania, Greece, June 19-23, 2006.
Fuzzy Sets in Models of Control and Artificial Intelligence, Ed. by D.A. Pospelov (Nauka, Moscow, 1986) [in Russian].312 с.
Grabisch M., 2003. Modelling data by the Choquet integral. In: Torra, V. (Ed.), Information Fusion in Data Mining, Physica Verlag, Heidelberg. pp. 135-148.
Kim Yeong Min, Kim Chee Kyeong, 2006. Fuzzy based state assessment for reinforced concrete building structures. Engineering Structures, Vol. 28, No. 9, 1286-1297.
Laukonen E.G., Passino K.M., 1995. Training Fuzzy Systems to Perform Estimation and Identification, Engineering Applications of Artificial Intelligence, Vol. 8, No. 5, pp. 499–514.
Magyla T., 2002. The evaluation implementation impact of centralized traffic control systems in railways. Kaunas University of Technology, Transport, Vol.17, No 3, 96-102.
Pham Tuan, Wagner Michael, 2000. Similarity normalization for speaker verification by fuzzy fusion, Pattern Recognition 33, 309-315.
Sugeno M., 1974. Theory of fuzzy integrals and its applications. PhD thesis, Tokyo Institute of Technology.