Assessing fuzzy sets and the potential of possibility theory

Mark J. Wierman

Research output: Contribution to journal › Article

7 Citations (Scopus)

Abstract

The alpha-cut is generalized to depend on relations other than greater-than-or-equal-to. Various measures of fuzziness and specificity are also generalized as assessment functions. A consistent notation and terminology are developed. Possibility theory is introduced, and the assessment functions are recast as potential functions. The nonspecificity function is seen to have special relevance.

Original languageEnglish
Pages (from-to)247-261
Number of pages15
JournalInformation Sciences
Volume88
Issue number1-4
StatePublished - Jan 1996

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Possibility Theory
Fuzzy sets
Fuzzy Sets
Measure of Fuzziness
α-cut
Potential Function
Notation
Specificity
Terminology
Potential function

All Science Journal Classification (ASJC) codes

  • Artificial Intelligence
  • Computer Science Applications
  • Information Systems
  • Information Systems and Management
  • Statistics, Probability and Uncertainty
  • Electrical and Electronic Engineering
  • Statistics and Probability

Cite this

Assessing fuzzy sets and the potential of possibility theory. / Wierman, Mark J.

In: Information Sciences, Vol. 88, No. 1-4, 01.1996, p. 247-261.

Research output: Contribution to journal › Article

Wierman, MJ 1996, 'Assessing fuzzy sets and the potential of possibility theory', Information Sciences, vol. 88, no. 1-4, pp. 247-261.
Wierman MJ. Assessing fuzzy sets and the potential of possibility theory. Information Sciences. 1996 Jan;88(1-4):247-261.
Wierman, Mark J. / Assessing fuzzy sets and the potential of possibility theory. In: Information Sciences. 1996 ; Vol. 88, No. 1-4. pp. 247-261.
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