Structure functions with fuzzy states

Fuzzy Sets and Systems

Volumn 83, Issue 2, 1996, Pages 189-202

  Cutello, Vincenzo ^a   Montero, Javier ^b   Yáñez, Javier ^b  

^a UNIVERSITY OF CATANIA   (Italy)

^b UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

Author keywords

Fuzzy numbers; Reliability theory; Structure functions

Indexed keywords

EID: 0039212811     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/0165-0114(95)00390-8     Document Type: Article

References (19)

1. R.E. Barlow and B. Proschan, Statistical Theory of Reliability and Life Testing (To Begin With, Silver Spring, MD, 1981).
2. L.A. Baxter, Continuum structures I, J. Appl. Probab. 21 (1986) 802-815.
3. H.W. Block and T.H. Savits, Continuous multistate structure functions, Oper. Res. 32 (1984) 703-714.
4. G. Bortolan and R. Degani, A review of some methods for ranking fuzzy subsets, Fuzzy Sets and Systems 15 (1985) 1-19.
5. K.Y. Cai, C.Y. Wen and M.L. Zhang, Coherent systems in PROFUST reliability theory, in: T. Onisawa and J. Kacprzyk, Eds., Reliability and Safety Analysis under Fuzziness (Physica-Verlag, Heidelberg, 1995) 81-94.
6. B. Cappelle, Multistate structure functions and possibility: an alternative approach to reliability, in: E.E. Kerre, Ed., Introduction to the Basic Principles of Fuzzy Set Theory and some of its Applications (Communication and Cognition, Gent, 1991) 252-293.
7. V. Cutello and J. Montero, Reliability structure functions based upon fuzzy numbers, Proc. IEEE Conf. on Fuzzy Systems, Orlando (June 1994) 1137-1139.
8. D. Dubois and H. Prade, Decision-making under fuzziness, in: M.M. Gupta, R.K. Ragade and R.R. Yager, Eds., Advances in Fuzzy Set Theory and Applications (North-Holland, Amsterdam, 1979) 279-302.
9. E. El-Neweihi and F. Proschan, Degradable systems: a survey of multistate system theory. Commun. Statist. Theory Methods 13 (1984) 405-432.
10. J. Endrenyi, Reliability Modeling in Electric Power Systems (Wiley, New York, 1978).
11. H. Furuta and N. Shiraishi, Fuzzy importance in fault tree analysis, Fuzzy Sets and Systems 12 (1984) 205-213.
12. S. Gähler and W. Gähler, Fuzzy real numbers, Fuzzy Sets and Systems 66 (1994) 137-158.
13. O. Kaleva, Fuzzy performance of a coherent system. J. Math. Anal. Appl. 117 (1986) 234-246.
14. A. Kaufmann and M.M. Gupta, Introduction to Fuzzy Arithmetic (Van Nostrand Reinhold, New York, 1985).
15. E.E. Kerre. A deeper look on fuzzy numbers from a theoretical as well as from a practical point of view, in: M.M. Gupta and T. Yamakawa, Eds., Fuzzy Logic in Knowledge-Based Systems, Decision and Control (Elsevier, Amsterdam, 1979) 153-164.
16. K.B. Misra and K.P. Soman. Multistate fault tree analysis using fuzzy probability vectors and resolution identity, in: T. Onisawa and J. Kacprzyk, Eds., Reliability and Safety Analysis under Fuzziness (Physica-Verlag, Heidelberg, 1995) 113-125.
17. M. Mizumoto and K. Tanaka, Some properties of fuzzy sets of type 2. Inform. Control 31 (1976) 312-340.
18. M. Mizumoto and K. Tanaka, Some properties of fuzzy numbers, in: M.M. Gupta, R.K. Ragade and R.R. Yager, Eds., Advances in Fuzzy Set Theory and Applications (North-Holland, Amsterdam, 1979) 153-164.
19. .1. Montero, B. Cappelle and E. Kerre, The usefulness of complete lattices in reliability analysis, in: T. Onisawa and J. Kacprzyk, Eds., Fuzzy Sets and Possibility Theory in Reliability and Safety Analysis (Springer-Verlag, Heidelberg, 1995).