Interval-Valued Fuzzy Control

In this paper, we introduce the concept of interval-valued fuzzy control. Based on the idea of the interpolation mechanism of fuzzy control, we propose the inference algorithm of interval-valued fuzzy inference and mathematical model of interval-valued fuzzy control, investigate the interpolation mechanism of interval-valued fuzzy control. Finally, we use a simulation experiment of interval-valued fuzzy control to illustrate our proposed algorithm reasonable.

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

[2]  L. A. ZADEH,et al.  The concept of a linguistic variable and its application to approximate reasoning - I , 1975, Inf. Sci..

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

[4]  Lotfi A. Zadeh,et al.  The concept of a linguistic variable and its application to approximate reasoning-III , 1975, Inf. Sci..

[5]  Krassimir T. Atanassov,et al.  Intuitionistic fuzzy sets , 1986 .

[6]  M. Gorzałczany A method for inference in approximate reasoning based on interval-valued fuzzy sets , 1987 .

[7]  M. Gorzałczany An interval-valued fuzzy inference method: some basic properties , 1989 .

[8]  Pei-Zhuang Wang,et al.  Mathematical theory of truth-valued flow inference , 1995 .

[9]  Shyi-Ming Chen,et al.  Bidirectional approximate reasoning based on interval-valued fuzzy sets , 1997, Fuzzy Sets Syst..

[10]  Hongxing Li Interpolation mechanism of fuzzy control , 1998 .

[11]  Hongxing Li Adaptive fuzzy controllers based on variable universe , 1999 .

[12]  Hongxing Li Relationship between fuzzy controllers and PID controllers , 1999 .

[13]  Krassimir T. Atanassov,et al.  Intuitionistic Fuzzy Sets - Theory and Applications , 1999, Studies in Fuzziness and Soft Computing.

[14]  Humberto Bustince,et al.  Indicator of inclusion grade for interval-valued fuzzy sets. Application to approximate reasoning based on interval-valued fuzzy sets , 2000, Int. J. Approx. Reason..

[15]  Humberto Bustince,et al.  Mathematical analysis of interval-valued fuzzy relations: Application to approximate reasoning , 2000, Fuzzy Sets Syst..

[16]  Shyi-Ming Chen,et al.  Bidirectional approximate reasoning for rule-based systems using interval-valued fuzzy sets , 2000, Fuzzy Sets Syst..

[17]  Myung-Geun Chun,et al.  A similarity-based bidirectional approximate reasoning method for decision-making systems , 2001, Fuzzy Sets Syst..

[18]  Etienne E. Kerre,et al.  On the relationship between some extensions of fuzzy set theory , 2003, Fuzzy Sets Syst..

[19]  Lotfi A. Zadeh,et al.  Toward a generalized theory of uncertainty (GTU) - an outline , 2005, GrC.

[20]  Wenyi Zeng,et al.  Note on Interval-Valued Fuzzy Set , 2005, FSKD.

[21]  Wenyi Zeng,et al.  Inner Product Truth-valued Flow Inference , 2005, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[22]  Wenyi Zeng,et al.  Representation Theorem of Interval-Valued Fuzzy Set , 2006, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[23]  Glad Deschrijver,et al.  Arithmetic operators in interval-valued fuzzy set theory , 2007, Inf. Sci..