Perceptual reasoning using interval type-2 fuzzy sets: Properties

Author

Wu, Dongrui ; Mendel, Jerry M.

Author_Institution

Ming Hsieh Dept. of Electr. Eng., Univ. of Southern California, Los Angeles, CA

fYear

2008

fDate

1-6 June 2008

Firstpage

1219

Lastpage

1226

Abstract

Perceptual reasoning (PR) is an approximate reasoning mechanism that can be used as a computing with words (CWW) Engine, i.e., given input words, PR can infer the output from a rulebase. When the input words and the words in the rulebase are modeled by interval type-2 fuzzy sets (IT2 FSs), the output of PR, Ytilde_PR, is also an IT2 FS, and it will be mapped to a word in a codebook. For accurate mapping, we need to ensure that Ytilde_PR resembles the IT2 FSs in the codebook. The concept of PR using IT2 FSs was originally proposed in [10]. In this paper, the procedures to compute PR are introduced, and the properties of PR are studied in more detail. More specifically, we show under what conditions Ytilde_PR can be a shoulder or interior footprint of uncertainty.

Keywords

fuzzy set theory; inference mechanisms; approximate reasoning mechanism; interval type-2 fuzzy sets; perceptual reasoning; uncertainty interior footprint; Active shape model; Engines; Frequency selective surfaces; Fuzzy logic; Fuzzy reasoning; Fuzzy sets; Fuzzy systems; Mechanical factors; Uncertainty; Vocabulary; Computing with words; interval type-2 fuzzy sets; linguistic weighted average; perceptual reasoning;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems, 2008. FUZZ-IEEE 2008. (IEEE World Congress on Computational Intelligence). IEEE International Conference on

Conference_Location

Hong Kong

ISSN

1098-7584

Print_ISBN

978-1-4244-1818-3

Electronic_ISBN

1098-7584

Type

conf

DOI

10.1109/FUZZY.2008.4630526

Filename

4630526