TY - GEN

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

AU - Giardina, C. R.

AU - Laplante, P. A.

PY - 1990/11/1

Y1 - 1990/11/1

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 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.

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 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.

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M3 - Conference contribution

AN - SCOPUS:0025514860

SN - 0879425970

T3 - Proceedings of the IEEE International Conference on Systems, Man and Cybernetics

SP - 436

EP - 438

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

PB - Publ by IEEE

T2 - 1990 IEEE International Conference on Systems, Man, and Cybernetics

Y2 - 4 November 1990 through 7 November 1990

ER -