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- Carol L. Walker, Elbert A. Walker
- Fuzzy Sets and Systems
- 2005

The purpose of this paper is to give a straightforward mathematical treatment of algebras of fuzzy truth values for type-2 fuzzy sets.

- Mai Gehrke, Carol L. Walker, Elbert A. Walker
- Int. J. Intell. Syst.
- 1996

This paper presents a framework for fuzzy set theory in which fuzzy values are intervals.

- John Harding, Carol L. Walker, Elbert A. Walker
- Fuzzy Sets and Systems
- 2008

The algebra of truth values of type-2 fuzzy sets is the set of all functions from the unit interval into itself, with operations de ned in terms of certain convolutions of these functions withâ€¦ (More)

- Mai Gehrke, Carol L. Walker, Elbert A. Walker
- Fuzzy Sets and Systems
- 2003

In this paper, we examine and compare De Morgan-, Kleene-, and Booleandisjunctive and conjunctive normal forms and consider their role in fuzzy settings. In particular, we describe normal forms andâ€¦ (More)

- Mai Gehrke, Carol L. Walker, Elbert A. Walker
- International Journal of Uncertainty, Fuzzinessâ€¦
- 1997

The setup of a mathematical propositional logic is given in algebraic terms, describing exactly when two choices of truth value algebras give the same logic. The propositional logic obtained when theâ€¦ (More)

- Prasad, Carol L. Walker, Elbert A. Walker
- 1992

Fuzzy logic and neural networks provide new methods for designing control systems. Fuzzy logic controllers do not require a complete analytical model of a dynamic system and can provideâ€¦ (More)

- John Harding, Carol L. Walker, Elbert A. Walker
- Fuzzy Sets and Systems
- 2010

The lattice Lu of upper semicontinuous convex normal functions with convolution ordering arises in studies of type-2 fuzzy sets. In 2002, M. Kawaguchi and M. Miyakoshi [5] showed that this lattice isâ€¦ (More)

- Carol L. Walker, Elbert A. Walker
- 2006 IEEE International Conference on Fuzzyâ€¦
- 2006

This paper is concerned with the definition of t-norms on the algebra of truth values of type-2 fuzzy sets. Our proposed definition extends the definition of ordinary t-norms on the unit interval andâ€¦ (More)

- Ronald R. Yager, Carol L. Walker, Elbert A. Walker
- 2011 Annual Meeting of the North American Fuzzyâ€¦
- 2011

We focus on a particular type of multi-criteria aggregation imperative called prioritized aggregation. This imperative is characteristic of situations where lack of satisfaction for criteria denotedâ€¦ (More)

- Carol L. Walker, Elbert A. Walker
- IFSA
- 2007

The algebra of truth values for fuzzy sets of type-2, due to Zadeh, contains as subalgebras those of type-1 and of interval-valued fuzzy sets. It also contains many other interesting subalgebras,â€¦ (More)