The method of intervals ordering based on the probabilistic approach

• Autorzy: Róg P.
• Języki publikacji: EN

Abstrakty

EN

The paper presents a new method of interval comparison (ordering). The method is based on the probabilistic approach. It permits to take into account al] the cases of intervals location and intersection (the case of ordering of interval and real number too). Additionally, method allows (implicitly) to use the widths of intervals in procedure of it's ordering.

Słowa kluczowe

EN

interval ordering; probabilistic approach

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Informatyka Teoretyczna i Stosowana
• Rocznik: 2001
• Tom: R. 1, nr 1
• Strony: 103--108
• Opis fizyczny: Bibliogr. 11 poz., 2 rys.

Twórcy

autor

Róg P.

• Institute of Mathematics and Computer Science, Technical University of Częstochowa Dąbrowskiego 73,42-200 Częstochowa

Bibliografia

• [1] Fit R.-J., Propagating Temporal Constrains for Scheduling, Proc. 5th National Conf. on AI (AAAI-86), Morgan Kaufmann, Loa Atos 1986, 383-388.
• [2] Berttiny C.A., Formalization of Interval Based Temporal Subsumption in First Order Logic, (w:) Foundation of Knowledge Representation and Reasoning, Lect. Notes in AI, 810, Springer Verlag, Berlin 1994, 53-73.
• [3] Kulpa Z., Diagrammatic Representation for a Space of Intervals, Machine Graphics and Vision 1997, 6, 1, 5-24.
• [4] Diamond Ph., Kloeden P., Metric Spaces of Fuzzy Sets, Fuzzy Sets and Systems 1990, 35, 241-251.
• [5] Helpern S., Using Distance between Fuzzy Numbers in Socio-economic Systems, (w:) Cybernetic and Systems, ed. R. Trapi, World Scientific, Singapor 1994, 279-286.
• [6] Helpern S., Representation and Application of Fuzzy Numbers, Fuzzy Sets and Systems 1997, 91, 259-268 .
• [7] Moore R.E., Interval Analysis, Prentice-Hall, Englewood Cliffs 1966.
• [8] Ishihichi H., Tanaka M., Multiobjective Programming in Optimization of the Interval Objective Function, European Journal of Operational Research 1990, 48, 219-225.
• [9] Chanas S., Kuchta D., Multiobjective Programming in Optimization of the Interval Objective Functions - a Generalized Approach, European Journal of Operational Research 1996, 94, 594-598.
• [10] Walster G.W., Bierman M.S., Interval Arithmetic in Forte Developer Fortran, Technical Report, Sun Mikrosystems, March 2000.
• [11] C++ Interval Arithmetic Library Reference. http:/docs.sun.com/htmlcollcolI.693/iso-8859-/CPPARlT.../iapg_ref_man.htm.