An Algebraic Tool for Classification in Fuzzy Environments

This paper illustrates the behavior of a commutative l-monoid, endowed with a suitable operation of composition, as regards the problem of classification with fuzzy attributes. The concepts of relevance and similarity are introduced, then a mechanism for weighing the attributes is shown. Finally, a case study concerning graphology is illustrated in

[1]  Ranjit Biswas,et al.  An application of fuzzy sets in students' evaluation , 1995, Fuzzy Sets Syst..

[2]  Vincenzo Loia,et al.  A complete, flexible fuzzy-based approach to the classification problem , 1995, Int. J. Approx. Reason..

[3]  Ferdinando Cicalese,et al.  Classifying through a fuzzy algebraic structure , 1996, Fuzzy Sets Syst..

[4]  Luigi Di Lascio,et al.  A commutative l-monoid for classification with fuzzy attributes , 2001, Int. J. Approx. Reason..

[5]  Ronald R. Yager,et al.  Multiple objective decision-making using fuzzy sets , 1977 .

[6]  Rita Almeida Ribeiro.  Fuzzy multiple attribute decision making: A review and new preference elicitation techniques , 1996, Fuzzy Sets Syst..

[7]  A. Gisolfi,et al.  Averaging linguistic truth values in fuzzy approximate reasoning , 1998 .

[8]  R. Yager.  Fuzzy decision making including unequal objectives , 1978 .

[9]  Antonio Gisolfi.  An algebraic fuzzy structure for approximate reasoning , 1992 .

[10]  G. Comi,et al.  Amelioration of nerve conduction velocity following simultaneous kidney/pancreas transplantation is due to the glycaemic control provided by the pancreas , 1997, Diabetologia.

[11]  Lotfi A. Zadeh,et al.  The Concepts of a Linguistic Variable and its Application to Approximate Reasoning , 1975 .

[12]  Antonio Gisolfi,et al.  Classifying through an algebraic fuzzy structure: The relevance of the attributes , 1995, Int. J. Intell. Syst..

[13]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[14]  Lotfi A. Zadeh,et al.  Fuzzy logic = computing with words , 1996, IEEE Trans. Fuzzy Syst..

[15]  George J. Klir,et al.  Fuzzy sets and fuzzy logic - theory and applications , 1995 .

[16]  Antonio Gisolfi,et al.  An algebraic approximation to the classification with fuzzy attributes , 1993, Int. J. Approx. Reason..

[17]  Richard Bellman,et al.  Decision-making in fuzzy environment , 2012 .

[18]  Luigi Di Lascio,et al.  A fuzzy-based methodology for the analysis of diabetic neuropathy , 2002, Fuzzy Sets Syst..

[19]  Lakhmi C. Jain,et al.  Fuzzy clustering models and applications , 1997, Studies in Fuzziness and Soft Computing.

[20]  Vincenzo Loia,et al.  Uncertainty Processing in User-Modeling Activity , 1998, Inf. Sci..