Building a Type-2 Fuzzy Qualitative Regression Model

Type-1 fuzzy regression model is constructed with type-1 fuzzy coefficients dealing with real value inputs and outputs. From the fuzzy set-theoretical point of view, uncertainty also exists when associated with qualitative data (membership degrees). This paper intends to build a qualitative regressi...

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Bibliographic Details
Published inJournal of advanced computational intelligence and intelligent informatics Vol. 16; no. 4; pp. 527 - 532
Main Authors Wei, Yicheng, Watada, Junzo
Format Journal Article
LanguageEnglish
Published 20.06.2012
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Summary:Type-1 fuzzy regression model is constructed with type-1 fuzzy coefficients dealing with real value inputs and outputs. From the fuzzy set-theoretical point of view, uncertainty also exists when associated with qualitative data (membership degrees). This paper intends to build a qualitative regression model to measure uncertainty by applying the type-2 fuzzy set as the model’s coefficients. We are thus able to quantitatively describe the relationship between qualitative object variables and qualitative values of multivariate attributes (membership degree or type-1 fuzzy set), which are given by subjective recognition and judgment. We will build a basic qualitative model first and then improve it capable of ranging inputs. We will also give a heuristic solution in the end.
ISSN:1343-0130
1883-8014
DOI:10.20965/jaciii.2012.p0527