### Abstract

The extension of the fuzzy pointing set S = R 24 {*}, where * represents a nonreal background or uncertain value to the set S_{n} = 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 S_{n}, 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 S_{n} ^{2} 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 S_{n} in artificial intelligence, and image and digital signal processing are given.

Original language | English (US) |
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Title of host publication | Proceedings of the IEEE International Conference on Systems, Man and Cybernetics |

Publisher | Publ by IEEE |

Pages | 436-438 |

Number of pages | 3 |

ISBN (Print) | 0879425970 |

State | Published - Nov 1990 |

Event | 1990 IEEE International Conference on Systems, Man, and Cybernetics - Los Angeles, CA, USA Duration: Nov 4 1990 → Nov 7 1990 |

### Other

Other | 1990 IEEE International Conference on Systems, Man, and Cybernetics |
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City | Los Angeles, CA, USA |

Period | 11/4/90 → 11/7/90 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Control and Systems Engineering
- Hardware and Architecture

### Cite this

*Proceedings of the IEEE International Conference on Systems, Man and Cybernetics*(pp. 436-438). Publ by IEEE.

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*Proceedings of the IEEE International Conference on Systems, Man and Cybernetics.*Publ by IEEE, pp. 436-438, 1990 IEEE International Conference on Systems, Man, and Cybernetics, Los Angeles, CA, USA, 11/4/90.

**Extensions to the fuzzy pointing set and its application to artificial intelligence.** / Giardina, C. R.; Laplante, Phillip A.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Extensions to the fuzzy pointing set and its application to artificial intelligence

AU - Giardina, C. R.

AU - Laplante, Phillip A.

PY - 1990/11

Y1 - 1990/11

N2 - 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 Sn 2 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.

AB - 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 Sn 2 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.

UR - http://www.scopus.com/inward/record.url?scp=0025514860&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0025514860&partnerID=8YFLogxK

M3 - Conference contribution

SN - 0879425970

SP - 436

EP - 438

BT - Proceedings of the IEEE International Conference on Systems, Man and Cybernetics

PB - Publ by IEEE

ER -