Difference, distance and similarity as a basis for fuzzy decision support based on prototypical decision classes

doi:10.1016/S0165-0114(01)00253-6

Fuzzy Sets and Systems

Volume 131, Issue 1, 1 October 2002, Pages 35-46

https://doi.org/10.1016/S0165-0114(01)00253-6 Get rights and content

Abstract

The use of prototypical decision classes as a basis for fuzzy decision support is outlined. It is shown that given certain assumptions about the structure of both numeric and non-numeric linguistic variables Trapezoidal Fuzzy Sets can be used to model linguistic terms. In particular the notion of a fuzzy index is introduced to model sets of linguistic terms for which there is no formal measurement scale. The similarity between prototypes and input cases is measured as a function of the difference or ‘distance’ between fuzzy sets. The difference measure is itself a fuzzy set to reflect the underlying uncertainties in the original linguistic model. Similarity profiles for different decision classes are output as trapezoidal fuzzy sets. The approach can be applied to the rapid development of decision aids using standard business software.

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Difference, distance and similarity as a basis for fuzzy decision support based on prototypical decision classes

Abstract

Fuzzy Sets and Systems

Fuzzy Sets and Systems

Fuzzy Sets and Systems

Fuzzy Sets and Systems

Fuzzy Sets and Systems

Inform. Control

Fuzzy Sets and Systems

Fuzzy Sets and Systems

Fuzzy Sets and Systems

Women, Fire and Dangerous Things: What Categories Reveal About the Mind

Mental Spaces

Applying Case Based Reasoning

Cognitive equilibriuma knowledge-based theory of fuzziness and fuzzy sets

Internat. J. Gen. Systems

Towards a universal law of generalisation for psychological science

Science

Fuzzy logic = computing with words

IEEE Trans. Fuzzy Systems

Ordering and closeness of fuzzy sets

Fuzzy Sets and Systems

Fuzzy sets and the modeling of the physician decision processesPart I: The initial interview-information gathering process

Fuzzy Sets and Systems