Masters Theses

Abstract

"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.

Advisor(s)

Insall, Matt

Committee Member(s)

Morgan, Ilene H.
Charatonik, W. J.

Department(s)

Mathematics and Statistics

Degree Name

M.S. in Applied Mathematics

Publisher

Missouri University of Science and Technology

Publication Date

Fall 2012

Pagination

x, 114 pages

Note about bibliography

Includes bibliographical references (page 113).

Rights

© 2012 Philip theodore Thiem, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Subject Headings

Lattice theory
Algebra, Abstract

Thesis Number

T 10129

Print OCLC #

842963602

Electronic OCLC #

909389427

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