Title :
Discrete complex fuzzy logic
Author :
Tamir, Dan E. ; Last, Mark ; Teodorescu, Horia N. ; Kandel, Abraham
Author_Institution :
Comput. Sci., Texas State Univ., San Marcos, TX, USA
Abstract :
In this paper we propose a complex fuzzy logic (CFL) system that is based on the extended Post (multi-valued logic) system (EPS) of order p >; 2, and demonstrate its utility for reasoning with fuzzy facts and rules. The advantage of this formalism is that it is discrete. Hence, it better fits real time applications, digital signal processing, and embedded systems that use integer processing units. Propositional calculus as well as first-order predicate calculus of EPS based CFL systems are developed. The application to approximate reasoning is described.
Keywords :
calculus; fuzzy logic; fuzzy reasoning; fuzzy set theory; multivalued logic; process algebra; CFL system; EPS; approximate reasoning; complex fuzzy logic system; digital signal processing; discrete complex fuzzy logic; embedded systems; extended post system; first-order predicate calculus; fuzzy facts; fuzzy rules; integer processing units; multivalued logic system; propositional calculus; Cognition; Educational institutions; Fuzzy logic; Fuzzy sets; Natural languages; Pragmatics; Semantics; Complex Fuzzy Logic; Fuzzy Logic; Post Multi Valued Logic System;
Conference_Titel :
Fuzzy Information Processing Society (NAFIPS), 2012 Annual Meeting of the North American
Conference_Location :
Berkeley, CA
Print_ISBN :
978-1-4673-2336-9
Electronic_ISBN :
pending
DOI :
10.1109/NAFIPS.2012.6291020
