Optical Implementation of Min and Max Operation

Hedong Yang; Clark C. Guest

doi:10.1364/OPTCOMP.1987.ME7

Topical Meeting on Optical Computing
Technical Digest Series (Optica Publishing Group, 1987),
paper ME7
•https://doi.org/10.1364/OPTCOMP.1987.ME7

Optical Implementation of Min and Max Operation

Hedong Yang and Clark C. Guest

Optical Computing 1987

Incline Village, Nevada United States
16–18 March 1987
ISBN:

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Posters: Session 5 (ME)

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H. Yang and C. C. Guest, "Optical Implementation of Min and Max Operation," in Topical Meeting on Optical Computing, Technical Digest Series (Optica Publishing Group, 1987), paper ME7.

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Abstract

In fuzzy logic [1,2] and fuzzy cognitive maps (FCM) [3-5], the operations of maximum and minimum play roles that are parallel to those played by addition and multiplication in ordinary matrix algebra. For example, in a fuzzy associative memory (FAM) [6], the connection matrix is constructed by taking the outer product of the vector to be memorized with min operation substituting for product of elements, i.e, t_ij = min (a_i, a_j).

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