2005Unpublished venueRequires access

Choquet fuzzy integral-based identification

Smriti Srivastava, Madhusudan Singh, M. Hanmandlu

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Abstract

A Choquet fuzzy integral based approach to identification of non-linear systems is investigated. The Choquet integral replaces the maximum (minimum) operator in the information aggregation with a fuzzy integral based neuron. The identification of Choquet integral based fuzzy model is developed with strength of the rules as the input functions and unknown fuzzy densities, subject to q-measure, as the coefficients. This is a significant contribution as it leads to a class of non-additive fuzzy systems. In addition to it, the use of q-measure provides a more flexible and powerful way of incorporating various fuzzy measures into the integral. Simulation results show the effectiveness of the identification method

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What this paper is about

A Choquet fuzzy integral based approach to identification of non-linear systems is investigated. The Choquet integral replaces the maximum (minimum) operator in the information aggregation with a fuzzy integral based neuron. The identification of Choquet integral based fuzzy model is developed with strength of the rules as the input functions and unknown fuzzy densities, subject to q-measure, as the coefficients. This is a significant contribution as it leads to a class of non-additive fuzzy systems. In addition to it, the use of q-measure provides a more flexible and powerful way of incorporating various fuzzy measures into the integral. Simulation results show the effectiveness of the identification method

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Available abstract

A Choquet fuzzy integral based approach to identification of non-linear systems is investigated. The Choquet integral replaces the maximum (minimum) operator in the information aggregation with a fuzzy integral based neuron. The identification of Choquet integral based fuzzy model is developed with strength of the rules as the input functions and unknown fuzzy densities, subject to q-measure, as the coefficients. This is a significant contribution as it leads to a class of non-additive fuzzy systems. In addition to it, the use of q-measure provides a more flexible and powerful way of incorporating various fuzzy measures into the integral. Simulation results show the effectiveness of the identification method

Key concepts: Choquet integral, Fuzzy measure theory, Fuzzy logic, Mathematics, Measure (data warehouse), Fuzzy number, Identification (biology), Fuzzy classification

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