Possibilistic logistic regression for fuzzy categorical response data

A new possibilistic logistic regression is investigated, which can be used in cases where the explanatory variables are crisp observations but the values of the response variable are non-precise and are measured by linguistic terms. For evaluating the model, a goodness-of-fit criterion which is called the mean of capability index is employed. A numerical example in a real clinical study about child's appetite status is given to explain the method.

[1]  H. Singh,et al.  Stressful family life events and parental perception of poor appetite in children. , 1994, Indian Pediatrics.

[2]  H. Tanka Fuzzy data analysis by possibilistic linear models , 1987 .

[3]  Amir B. Geva,et al.  Fuzzy Clustering in Medicine: Applications to Electrophysiological Signal Processing , 2002 .

[4]  ed.by Richard E. Behrman... Nelson's Textbook of Pediatrics , 2000 .

[5]  Bilal M. Ayyub,et al.  Fuzzy regression methods - a comparative assessment , 2001, Fuzzy Sets Syst..

[6]  K. Mohammad,et al.  Effects of folic acid on preschool children’s appetite: Randomized triple‐blind clinical trial , 2007, Pediatrics international : official journal of the Japan Pediatric Society.

[7]  Alan Agresti,et al.  Categorical Data Analysis , 1991, International Encyclopedia of Statistical Science.

[8]  G. Klir Where do we stand on measures of uncertainty, ambiguity, fuzziness, and the like? , 1987 .

[9]  C. Achterberg,et al.  Food insecurity is positively related to overweight in women. , 2001, The Journal of nutrition.

[10]  Ebrahim Nasrabadi,et al.  A mathematical-programming approach to fuzzy linear regression analysis , 2004, Appl. Math. Comput..

[11]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[13]  S. Mahmoud Taheri,et al.  Fuzzy logistic regression based on the least squares approach with application in clinical studies , 2011, Comput. Math. Appl..

[14]  Peijun Guo,et al.  Dual models for possibilistic regression analysis , 2006, Comput. Stat. Data Anal..

[15]  I. Turksen Fuzzy Sets and Systems and its Applications in Production Research , 1985 .

[16]  Pierpaolo D'Urso,et al.  Goodness of fit and variable selection in the fuzzy multiple linear regression , 2006, Fuzzy Sets Syst..

[17]  Robert Ivor John,et al.  Computer aided fuzzy medical diagnosis , 2004, Inf. Sci..

[18]  James F. Baldwin,et al.  Medical diagnosis from patient records—a method using fuzzy discrimination and connectivity analyses , 1987 .

[19]  Saeedeh Pourahmad,et al.  FUZZY LOGISTIC REGRESSION: A NEW POSSIBILISTIC MODEL AN:Q ITS APPLICATION IN CLINICAL VAGUE STATUS , 2011 .

[20]  S. M. Taheri,et al.  Fuzzy least-absolutes regression using shape preserving operations , 2012, Inf. Sci..

[21]  R. M. Jafelice,et al.  Fuzzy modeling in symptomatic HIV virus infected population , 2004, Bulletin of mathematical biology.

[22]  S. Mahmoud Taheri,et al.  An interval-based approach to fuzzy regression for fuzzy input-output data , 2011, 2011 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE 2011).

[23]  Didier Dubois,et al.  Possibility theory , 2018, Scholarpedia.