Classifying through an algebraic fuzzy structure: The relevance of the attributes

作者: Antonio Gisolfi

DOI: 10.1002/INT.4550100803

关键词: Algebraic numberRelevance (information retrieval)Fuzzy classificationDomain of discourseFuzzy logicWeightingMathematicsStructure (mathematical logic)Fuzzy numberMachine learningArtificial intelligence

摘要: An appropriate fuzzy structure was previously defined to generate classifications in a universe of discourse which the characteristics elements are through attributes whose values linguistic labels. way operates depends upon suitable operations on represented by numbers. However, this classification method suffers from main disadvantage, i.e., inherent rigidity deriving circumstance that all share same weight and, consequently, taken into account completely disregarding fact usually some more relevant than others. In article we analyze weighting rule allowing us treat different relevance is different. validity approach checked means case study concerning diets for breast-feeding women. © 1995 John Wiley & Sons, Inc.

参考文章(23)
L. A. Zadeh, Fuzzy logic and approximate reasoning Synthese. ,vol. 30, pp. 238- 259 ,(1996) , 10.1007/BF00485052
Behrooz Heshmaty, Abraham Kandel, Fuzzy linear regression and its applications to forecasting in uncertain environment Fuzzy Sets and Systems. ,vol. 15, pp. 159- 191 ,(1985) , 10.1016/0165-0114(85)90044-2
M.Reha Civanlar, H.Joel Trussell, Constructing membership functions using statistical data Fuzzy Sets and Systems. ,vol. 18, pp. 1- 13 ,(1986) , 10.1016/0165-0114(86)90024-2
G. Bortolan, R. Degani, A review of some methods for ranking fuzzy subsets Fuzzy Sets and Systems. ,vol. 15, pp. 1- 19 ,(1985) , 10.1016/0165-0114(85)90012-0
L. A. Zadeh, A Fuzzy-Set-Theoretic Interpretation of Linguistic Hedges Journal of Cybernetics. ,vol. 2, pp. 4- 34 ,(1972) , 10.1080/01969727208542910
Antonio Gisolfi, Gustavo Nunez, An algebraic approximation to the classification with fuzzy attributes International Journal of Approximate Reasoning. ,vol. 9, pp. 75- 95 ,(1993) , 10.1016/0888-613X(93)90007-Z
J. Dombi, Membership function as an evaluation Fuzzy Sets and Systems. ,vol. 35, pp. 1- 21 ,(1990) , 10.1016/0165-0114(90)90014-W
Vincenţiu Dumitru, Florica Luban, On some optimization problems under uncertainty Fuzzy Sets and Systems. ,vol. 18, pp. 257- 272 ,(1986) , 10.1016/0165-0114(86)90005-9