Aggregation Using the Linguistic Weighted Average and Interval Type-2 Fuzzy Sets

Author

Wu, Dongrui ; Mendel, Jerry M.

Author_Institution

Southern California Univ., Los Angeles

Volume

15

Issue

6

fYear

2007

Firstpage

1145

Lastpage

1161

Abstract

The focus of this paper is the linguistic weighted average (LWA), where the weights are always words modeled as interval type-2 fuzzy sets (IT2 FSs), and the attributes may also (but do not have to) be words modeled as IT2 FSs; consequently, the output of the LWA is an IT2 FS. The LWA can be viewed as a generalization of the fuzzy weighted average (FWA) where the type-1 fuzzy inputs are replaced by IT2 FSs. This paper presents the theory, algorithms, and an application of the LWA. It is shown that finding the LWA can be decomposed into finding two FWAs. Since the LWA can model more uncertainties, it should have wide applications in distributed and hierarchical decision-making.

Keywords

computational linguistics; formal languages; fuzzy set theory; type theory; CWW paradigm; aggregation method; distributed decision-making; hierarchical decision-making; interval type-2 fuzzy sets; linguistic weighted average; natural language; Computer architecture; Decoding; Distributed computing; Distributed decision making; Engines; Expert systems; Frequency selective surfaces; Fuzzy sets; Uncertainty; Vocabulary; Aggregation; computing with words; distributed and hierarchical decision-making; fuzzy weighted average; interval type-2 fuzzy sets; linguistic weighted average;

fLanguage

English

Journal_Title

Fuzzy Systems, IEEE Transactions on

Publisher

ieee

ISSN

1063-6706

Type

jour

DOI

10.1109/TFUZZ.2007.896325

Filename

4387914