Comments on "The Relationship Between Multivalued Switching Algebra and Boolean Algebra under Different Definitions of Complement"

E. Ducasse; G. Metze

doi:10.1109/T-C.1975.224192

Publication
1975
Issue No. 2 - February
Abstract - Comments on "The Relationship Between Multivalued Switching Algebra and Boolean Algebra under Different Definitions of Complement"

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Comments on "The Relationship Between Multivalued Switching Algebra and Boolean Algebra under Different Definitions of Complement" (PDF)

February 1975 (vol. 24 no. 2)

pp. 220

	ASCII Text	x
	E. Ducasse, G. Metze, "Comments on "The Relationship Between Multivalued Switching Algebra and Boolean Algebra under Different Definitions of Complement"," IEEE Transactions on Computers, vol. 24, no. 2, pp. 220, February, 1975.

	BibTex	x
	@article{ 10.1109/T-C.1975.224192, author = {E. Ducasse and G. Metze}, title = {Comments on "The Relationship Between Multivalued Switching Algebra and Boolean Algebra under Different Definitions of Complement"}, journal ={IEEE Transactions on Computers}, volume = {24}, number = {2}, issn = {0018-9340}, year = {1975}, pages = {220}, doi = {http://doi.ieeecomputersociety.org/10.1109/T-C.1975.224192}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }

	RefWorks Procite/RefMan/Endnote	x
	TY - JOUR JO - IEEE Transactions on Computers TI - Comments on "The Relationship Between Multivalued Switching Algebra and Boolean Algebra under Different Definitions of Complement" IS - 2 SN - 0018-9340 SP EP EPD - 220 A1 - E. Ducasse, A1 - G. Metze, PY - 1975 KW - Definition of complement KW - lattices KW - multivalued algebras KW - multivalued Boolean algebras KW - Post algebras. VL - 24 JA - IEEE Transactions on Computers ER -

E. Ducasse, University of Illinois

G. Metze

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/T-C.1975.224192

These comments point out first that the difficulties encountered in a recent paper¹in applying the theorems of Boolean algebra to a multivalued system using max and min functions are not due to the type of complement that is chosen, but due to the attempt to deqne a multivalued Boolean algebra using the max and min functions which are not Boolean functions except in the 2-valued case; a

Index Terms:

Definition of complement, lattices, multivalued algebras, multivalued Boolean algebras, Post algebras.

Citation:

E. Ducasse, G. Metze, "Comments on "The Relationship Between Multivalued Switching Algebra and Boolean Algebra under Different Definitions of Complement"," IEEE Transactions on Computers, vol. 24, no. 2, pp. 220, Feb. 1975, doi:10.1109/T-C.1975.224192

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