Object structure

Creator:

Homenda, Władysław

Contributor:

Pedrycz, Witold - ed. ; Korbicz, Józef - ed.

Title:

Algebraic operators: An alternative approach to fuzzy sets

Subtitle:

Computational Intelligence

Group publication title:

AMCS, volume 6 (1996)

Subject and Keywords:

sterowanie ; sterowanie-teoria ; sztuczna inteligencja ; matematyka stosowana ; informatyka

Abstract:

The paper deals with processing of uncertain information in terms of its repetitiveness and negativity. Neither of these features is handled in the lattice structure of fuzzy sets. In the case of repetitive information, the max-min operators are noninteractive (see (Pedrycz, 1993)). ; Triangular norms presented there can cope with repetitive information. Nevertheless, negativity still creates problems. In this paper, a new approach to processing of uncertain information is proposed. This approach is based on some extension of fuzzy sets theory: the linear space and ring structure of fuzzy sets. ; This extension is created by new operators, algebraic rather than logic. In this paper, the operators are called a-p-v operators. Basic properties of the introduced spaces are discussed. Both repetitive and negative kinds of information are handled in algebraic structures of fuzzy sets. Operators introduced in this paper are applied in two examples: fuzzy reasoning and fuzzy neural networks.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

1996

Resource Type:

artykuł

Pages:

505-527

Source:

AMCS, volume 6, number 3 (1996) ; click here to follow the link

Language:

eng

Rights:

Biblioteka Uniwersytetu Zielonogórskiego