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

fYear

2012

fDate

6-8 Aug. 2012

Firstpage

1

Lastpage

6

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Information Processing Society (NAFIPS), 2012 Annual Meeting of the North American

Conference_Location

Berkeley, CA

ISSN

pending

Print_ISBN

978-1-4673-2336-9

Electronic_ISBN

pending

Type

conf

DOI

10.1109/NAFIPS.2012.6291020

Filename

6291020