Fuzzy arithmetic based on boundary weak t-norms

International Journal of Uncertainty, Fuzziness and Knowldege-Based Systems

Volumn 13, Issue 1, 2005, Pages 27-37

  Urbański, Michal K ^a   Wa̧sowski, Janusz ^a  

^a WARSAW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Boundary weak triangular norm; Extension principle; Fuzzy arithmetic; Measurement uncertainty; Theory of measurement

Indexed keywords

BOUNDARY CONDITIONS; DATA ACQUISITION; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; STATISTICAL METHODS; UNCERTAIN SYSTEMS;

BOUNDARY WEAK TRIANGULAR NORM; EXTENSION PRINCIPLE; FUZZY ARITHMETIC; MEASUREMENT UNCERTAINTY; THEORY OF MEASUREMENT;

FUZZY SETS;

EID: 17444407074     PISSN: 02184885     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218488505003291     Document Type: Article

References (12)

1. B.De Baets, A.Marková-Stupńová, Analytical expressions for the addition of fuzzy intervals, Fuzzy Sets and Systems 91(1997) 203-213.
2. J.C. Fodor, On fuzzy implication operators, Fuzzy Sets and Systems 42(1991) 293-300.
3. D.H. Hong, R.I. Ro, The law of large numbers for fuzzy unbounded supports, Fuzzy Sets and Systems 116(2000) 269-274.
4. S. Jenei, The structure of Girard monoids on [0,1], Proceedings of the 20th Linz Seminar on Fuzzy Set Theory, Linz, Austria, 1999, 21-33.
5. E.P.Klement, R.Mesiar, E.Pap, Triangular Norms, Monograph, Kluwer Academic Publisher, Dordrecht, 2000.
6. G. Mauris, V. Lasserre, L. Foully, A fuzzy approach for expression of uncertainty in measurement, Measurement 29 (2001), pp. 165-177.
7. R.E.Moore, Methods and applications of interval analysis, Prentice-Hall, London, 1979.
8. B. Schweizer, A. Sklar, Probabilistic Metric Spaces, North-Holland, New York, 1983.
9. M.Urbański, J.Wa̧sowski, Fuzzy approach for the theory of measurement inexactness, Proc. IMEKO-TCT Symposium (Cracow, Poland, June 25-27, 2002), 102-107.
10. M.Urbański, J.Wa̧sowski, Fuzzy approach to the theory of measurement inexactness, Measurement 34(2003),67-74.
11. X. X. Xia, Z. Wang, Y. Gao, Estimation of non-statistical uncertainty using fuzzy set theory, Measurement Science & Technology, 11, 2000, pp. 430-435.
12. R.R. Yager, On a Class of Weak Triangular Norm Operators, Information Sciences, 96(1997) 293-300.