On the monotone sum of basic t-norms in the construction of parametric families of digital conjunctors for fuzzy systems with reconfigurable logic

Authors:
Ildar Z. Batyrshin;Imre J. Rudas;Luis A. Villa;Prometeo CortéS Antonio
Affiliations:
Research Program of Applied Mathematics and Computations, Mexican Petroleum Institute, Eje Central Lázaro Cárdenas Norte 152, DF 07730, Mexico;íbuda University, Bécsi út 96/B, H-1034, Budapest, Hungary;Computer Research Center, Mexican Polytechnic Institute, Av. Juan de Dios Bátiz, DF 07738, Mexico;Computer Research Center, Mexican Polytechnic Institute, Av. Juan de Dios Bátiz, DF 07738, Mexico
Venue:
Knowledge-Based Systems
Year:
2013

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Abstract

A problem of hardware implementation of fuzzy rule-based systems with reconfigurable parametric families of operations is discussed. The methods of generation of parametric families of digital fuzzy conjunctors and t-norms by means of monotone sum and ordinal sum of basic t-norms are studied in the paper. The paper considers several methods of generation of such operations utilizing only the simplest operations, such as comparison, min, max, bounded sum and bounded difference, providing efficient hardware implementation of different reconfigurable parametric families of digital fuzzy conjunctors in one modular structure.