Intelligent reasoning using general knowledge to update specific information: A database approach

Baldwin, JF; Coyne, M. R.; Martin, T. P.

doi:10.1007/bf00961656

Cited by 8 publications

(3 citation statements)

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“…2) From (12)- (13), and taking into account that µ(x) + ν(x)+π(x) = 1, we obtain the values π(x) P os + (x) + P os − (x) = µ(x) + π(x) + ν(x) + + π(x) = 1 + π(x) (14) π(x) = P os + (x) + P os − (x) − 1…”

Section: Mass Assignment Theory and Assigning The Membership Andmentioning

confidence: 99%

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Intuitionistic Fuzzy Set Functions, Mass Assignment Theory, Possibility Theory and Histograms

Szmidt¹,

Baldwin

2006

2006 IEEE International Conference on Fuzzy Systems

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The idea of describing imprecise information taking independently into account both positive and negative aspects lies in the core of intuitionistic fuzzy sets which are generalization of fuzzy sets. But to apply intuitionistic fuzzy sets which seem to be a very good tool for representation and processing of imperfect information, one should be able to assign their membership and non-membership functions. In this paper we propose two ways of assigning the membership and non-membership functions for intuitionistic fuzzy sets: a) -by asking experts; b) -from relative frequency distributions (histograms). To justify the second (automatic) method, we show some similarities/parallels between intuitionistic fuzzy set theory and mass assignment theory -a well known tool for dealing with both probabilistic and fuzzy uncertainties. We also recall a semantic for membership functions -the interpretation having its roots in the possibility theory. Finally, we propose the automatic algorithm assigning the functions describing intuitionistic fuzzy sets.

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Section: Mass Assignment Theory and Assigning The Membership Andmentioning

confidence: 99%

“…The mass assignment structure is best used to represent knowledge that is statistically based such that the values can be measured, even if the measurements themselves are approximate or uncertain (Baldwin [14]). …”

Section: Mass Assignment Theory and Assigning The Membership Andmentioning

confidence: 99%

Intuitionistic Fuzzy Set Functions, Mass Assignment Theory, Possibility Theory and Histograms

Szmidt¹,

Baldwin

2006

2006 IEEE International Conference on Fuzzy Systems

View full text Add to dashboard Cite

show abstract

“…The mass assignment corresponding to a fuzzy set is another form of uncertainty to represent both probabilistic information and the fuzzy set to hold subjective information [20]. The detail of its definition is described in Definition 9.…”

Section: A Simple View Of Mass Assignment Theorymentioning

confidence: 99%