Cart (Loading....) | Create Account
Close category search window

Multivalued Logic and Fuzzy Logic--Their Relationship, Minimization, and Application to Fault Diagnosis

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

1 Author(s)
Zhiwei, Xu ; Computing Center, Southwest Agriculture College, Chongqing, Sichuan, China.; School of Electrical Engineering, Purdue University, West Lafayette, IN 47907.

The k-valued Kleene functions over Kleene algebra (instead of over Post algebra) are defined. Multivalued logic and fuzzy logic are studied in the light of lattice theory. It is shown that all Kleene k-valued logic (k = 3 or more) have the same algebraic structure as fuzzy logic through lattice isomorphism. As a by-product, an asymptotic formula and upper bound for enumeratinlg fuzzy switching functions of n variables is obtained. Some conditions for minimizing Kleene functions are discussed, and an efficient generalized Karnaught map method is described. An application is made of the above Kleene multivalued logic to the fault diagnosis of combinational circuits. The fault norm of a combinational circuit is introduced and it is shown that this norm contains all the information about the fault situation of the circuit, and can hence be used to solve such problems as fault analysis, fault diagnosis, and detection of circuit redundance and fault masking.

Published in:

Computers, IEEE Transactions on  (Volume:C-33 ,  Issue: 7 )

Date of Publication:

July 1984

Need Help?

IEEE Advancing Technology for Humanity About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies

A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2014 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.