The fuzzy Riemann integral and its numerical integration

Fuzzy Sets and Systems

Volumn 110, Issue 1, 2000, Pages 1-25

  Wu, Hsien Chung ^a,b  

^a NATIONAL CHI NAN UNIVERSITY   (Taiwan)

^b NONE   (Taiwan)

Author keywords

Closed fuzzy number; Fuzzy Riemann integral; Least squares; Nonlinear programming; Simpson's rule

Indexed keywords

EID: 0008024721     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-0114(97)00353-9     Document Type: Article

References (14)

1. T.M. Apostol, Mathematical Analysis, 2nd ed., Addison-Wesley, Reading, MA, 1974.
2. M.S. Bazarra, C.M. Shetty, Nonlinear Programming, Wiley, New York, 1993.
3. M. Mizumoto, K. Tanaka, The four operations of arithmetic on fuzzy numbers, Systems Comput. Controls 7 (1976) 703-710.
4. C.V. Negoita, D.A. Ralescu, Applications of Fuzzy Sets to Systems Analysis, Wiley, New York, 1975.
5. H.T. Nguyen, A note on extension principle for fuzzy sets, J. Math. Anal. Appl. 64 (1978) 369-380.
6. H.L. Royden, Real Analysis, 2nd ed., Macmillan, New York, 1968.
7. W. Rudin, Real and Complex Analysis, McGraw-Hill, New York, 1986.
8. M. Sakawa, H. Yano, Feasibility and pareto optimality for multiobjective linear and linear fractional programming problems with fuzzy parameters, in: J.L. Verdegay, M. Delgado (Eds.), The Interface between Artificial Intelligence and Operations Research in Fuzzy Environment, Verlag TUV Rheinland, 1990, pp. 213-232.
9. J.R. Sims, Z.Y. Wang, Fuzzy measures and fuzzy integrals: an overview, Internat. J. Gen. Systems 17 (1990) 157-189.
10. M. Sugeno, Theory of fuzzy integrals and its applications, Thesis, Tokyo Institute of Technology, 1974.
11. L.A. Zadeh, Fuzzy sets, Inform, and Control 8 (1965) 338-353.
12. L.A. Zadeh, The concept of linguistic variable and its application to approximate reasoning I, II and III, Inform. Sci. 8 (1975) 199-249; 8 (1975) 301-357; 9 (1975) 43-80.
13. L.A. Zadeh, The concept of linguistic variable and its application to approximate reasoning I, II and III, Inform. Sci. 8 (1975) 199-249; 8 (1975) 301-357; 9 (1975) 43-80.
14. L.A. Zadeh, The concept of linguistic variable and its application to approximate reasoning I, II and III, Inform. Sci. 8 (1975) 199-249; 8 (1975) 301-357; 9 (1975) 43-80.