Interval-Valued Complex Fuzzy Logic

Date

2016

Advisors

Journal Title

Journal ISSN

ISSN

DOI

Volume Title

Publisher

IEEE

Type

Conference

Peer reviewed

Yes

Abstract

Data is frequently characterised by both uncertainty and seasonality. Type-2 fuzzy sets are an extension of type-1 fuzzy sets offering a conceptual scheme within which the effects of uncertainties in fuzzy inferencing may be modelled and minimised. Complex fuzzy sets are type-1 fuzzy sets extended by an additional phase term which permits them to intuitively represent the seasonal aspect of fuzziness in time-series applications. Type-2 fuzzy sets take two forms, generalised, and the simpler interval. Interval-valued fuzzy sets are type-1 fuzzy sets whose behaviour and properties are equivalent to interval type-2 fuzzy sets. This paper is concerned with the combination of interval-valued fuzzy sets and complex fuzzy sets to develop interval-valued complex fuzzy sets, an adaption of complex fuzzy sets such that the membership function assigns each point on the domain to an interval.

From the definition of the interval-valued complex fuzzy set, the principles of interval-valued complex fuzzy logic are developed.

Description

DMU Interdisciplinary Group in Intelligent Transport Systems (DIGITS)

Keywords

Citation

Greenfield, S., Chiclana, F. and Dick, S. Interval-Valued Complex Fuzzy Logic. Accepted for presentation at FUZZ-IEEE2006 (WCCI2016).

Rights

Research Institute

Institute of Artificial Intelligence (IAI)