"Residuated lattices form the basis of certain kinds of logical interpretations. Also, complete commutative integral zero-bounded residuated lattices are used as a set of truth values for fuzzy logic values, Which are more general than the traditional bounded interval introduced by Zadeh. At times, it is important to know whether or not the lattice can be residuated in the first place. This thesis reviews the literature in lattice residuability and adds more observations. Specifically, (1) bounded chains and top-residuated lattices are show [sic] to be residuable, and (2) additional conditions necessary for residuability are established"--Abstract, page iii.
Morgan, Ilene H.
Charatonik, W. J.
Mathematics and Statistics
M.S. in Applied Mathematics
Missouri University of Science and Technology
x, 114 pages
© 2012 Philip theodore Thiem, All rights reserved.
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Link to Catalog RecordElectronic access to the full-text of this document is restricted to Missouri S&T users. Otherwise, request this publication directly from Missouri S&T Library or contact your local library.http://laurel.lso.missouri.edu:80/record=b9658201~S5
Thiem, Philip Theodore, "Lattice residuability" (2012). Masters Theses. 5986.