Extensions to the fuzzy pointing set and its application to artificial intelligence

C. R. Giardina, P. A. Laplante

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

The extension of the fuzzy pointing set S = R 24 {*}, where * represents a nonreal background or uncertain value to the set Sn = R 24 {*1,...,*n}, where *1,...,*n are nonreal values representing information with varying degrees of uncertainty, is considered. This extended pointing set casts the algebraic structure of S into a more general and intuitive environment. First, binary operations on S are extended to Sn, and the algebraic properties induced by them are studied. The extensions are shown to preserve the rich algebraic structure in S. In addition, a set of extended morphological operations on images in Sn2 are presented, and the properties and applications attributed to the pointing set are shown to have analogs in the more general environment. Practical interpretations for Sn in artificial intelligence, and image and digital signal processing are given.

Original languageEnglish (US)
Title of host publicationProceedings of the IEEE International Conference on Systems, Man and Cybernetics
PublisherPubl by IEEE
Pages436-438
Number of pages3
ISBN (Print)0879425970
StatePublished - Nov 1 1990
Event1990 IEEE International Conference on Systems, Man, and Cybernetics - Los Angeles, CA, USA
Duration: Nov 4 1990Nov 7 1990

Publication series

NameProceedings of the IEEE International Conference on Systems, Man and Cybernetics
ISSN (Print)0884-3627

Other

Other1990 IEEE International Conference on Systems, Man, and Cybernetics
CityLos Angeles, CA, USA
Period11/4/9011/7/90

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Hardware and Architecture

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