@article{0444b8a5abb4498dbb6bccf84e40686e,
title = "Parametric classes of generalized conjunction and disjunction operations for fuzzy modeling",
abstract = "It is argued that inference procedures of fuzzy models do not always require commutativity and associativity of the operations used. This raises the possibility of considering nonassociative and noncommutative conjunction and disjunction operations. Such operations are investigated in this paper and different methods for their generation are proposed. A number of new types of conjunction operations that are simpler than the known parametric classes of T-norms are given and, as an application example, the approximation of a function by a fuzzy inference system is considered.",
keywords = "Associativity, Commutativity, Conjunction, Disjunction, Fuzzy modeling, T-conorm, T-norm",
author = "Ildar Batyrshin and Okyay Kaynak",
note = "Funding Information: Manuscript received February 10, 1999; revised June 22, 1999. This work was supported by the Scientific and Technological Research Council of Turkey and in part by the Foundation for Promotion of Advanced Automation Technology. I. Batyrshin is with the Department of Informatics and Applied Mathematics, Kazan State Technological University, Kazan, 420015 Russia. O. Kaynak is with the Electrical and Electronic Engineering Department, Bogazici University, Bebek, Istanbul, 80815 Turkey. Publisher Item Identifier S 1063-6706(99)08728-7.",
year = "1999",
doi = "10.1109/91.797981",
language = "Ingl{\'e}s",
volume = "7",
pages = "586--596",
journal = "IEEE Transactions on Fuzzy Systems",
issn = "1063-6706",
number = "5",
}