About Two Manners of Use Weighted Least Squares Approach in Fuzzy Statistics

Ciprian Costin Popescu, Supian Sudradjat

Abstract


Two fuzzy statistical models are generalized and extended to the weighted models. The new regression problems are solved and compared with the originals.

Full Text:

PDF (in English)

References


T. S. Arthanari and Yadolah Dodge, Mathematical Programming in Statistics, John Wiley and Sons, New York, 1980.

Wu Cong-Xin and Ma Ming, Embedding problem of fuzzy number space: Part I, Fuzzy Sets and Systems 44 (1991) 33-38.

Wu Cong-Xin and Ma Ming, Embedding problem of fuzzy number space: Part III, Fuzzy Sets and Systems 46 (1992) 281-286.

Renato Coppi, Pierpaolo D'Urso, Paolo Giordani, Adriana Santoro, Least squares estimation of a linear regression model with LR fuzzy response, Computational Statistics and Data Analysis 51 (2006), 267-286.

P. Diamond and P. Kloeden, Metric spaces of fuzzy sets, Fuzzy Sets and Systems 35 (1990) 241-249.

P. Diamond, Fuzzy least squares, Inform. Sci. 46 (1988) 141-157.

P. Diamond and P. Kloeden, Metric spaces of fuzzy sets, Corrigendum, Fuzzy Sets and Systems 45 (1992) 123.

R. Goetschel, W. Voxman, Elementary Calculus, Fuzzy Sets and Systems 18 (1986) 31-43.

I.M. Hammerbacher and R. R. Yager, Predicting television revenues using fuzzy subsets, TIMS Stud. Management Sci. 20 (1984) 469-477.

A. Katsaras and D. B. Liu, Fuzzy vector spaces and fuzzy topological vector spaces, J. Math. Anal. Appl. 58 (1977) 135-146.

Ma Ming, M. Friedman, A. Kandel, General fuzzy least squares, Fuzzy Sets and Systems 88 (1997) 107-118.

C. V. Negoiţă and D. A. Ralescu, Applications of Fuzzy Sets to Systems Analysis, Wiley, New York, 1975.

H. Prade, Operations research with fuzzy data, in: P. P. Wang and S. K. Chang, Eds., Fuzzy sets: Theory and Application to Policy Analysis and Information Systems (plenum, New York, 1980) 115-169.

V. Preda and V. Craiu, Inferenţă statistică pentru valori medii condiţionate, Editura Universităţii Bucureşti (1992).

M. L. Puri and D. A. Ralescu, Differentials for fuzzy functions, J. Math. Anal. Appl. 91 (1983) 552-558.

H. Tanaka, H. Isibuchi and S. Yoshikawa, Exponential possibility regression analysis, Fuzzy Sets and Systems 69 (1995) 305-318.

H. Tanaka, S. Uejima and K. Asai, Linear regression analysis with fuzzy model, IEEE Trans. Systems Man Cybernet. SMC-12 (1982) 903-907.

H. J. Zimmermann, Fuzzy programming and linear programming with several objective functions, Fuzzy Sets and Systems 1 (1978) 45-55.

R. R. Yager, Fuzzy prediction based upon regression models, Inform. Sci. 26 (1982) 45-63.




DOI: https://doi.org/10.29313/jmtm.v7i1.3365

Refbacks

  • There are currently no refbacks.


Copyright (c) 2018 Matematika

ISSN : 1412-5056 | E-ISSN 2598-8980  

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License

Indexed by: