본문 바로가기
KERD
논문KCI 등재

Fuzzy decision-making on reliability of series system: Fuzzy geometric programming approach

G. S. Mahapatra|B. S. Mahapatra|P. K. Roy
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2011.01|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제1권 제1호|pp. 107-118

0

조회

0

다운로드

0

인용

0

참고문헌

키워드

reliabilitydecision-makingfuzzy setfuzzy geometric programmingreries system

초록

In this paper, we have presented different type of fuzzy geometric programming based on fuzzy decision-making through max-min and max-additive operators. These operators are applied in the series system reliability model in fuzzy environment. In the problem we have considered reliability of series system with limited system cost as a constraint function. Numerical examples are given to illustrate fuzzy decision-making based fuzzy geometric programming on series system reliability model.

Abstract

In this paper, we have presented different type of fuzzy geometric programming based on fuzzy decision-making through max-min and max-additive operators. These operators are applied in the series system reliability model in fuzzy environment. In the problem we have considered reliability of series system with limited system cost as a constraint function. Numerical examples are given to illustrate fuzzy decision-making based fuzzy geometric programming on series system reliability model.

참고문헌 (25)

  1. K. K. Aggarwal, "On minimizing the cost of reliable systems", IEEE Transac-tions on Reliability, R-24, pp.205~ (1975)
  2. F. Ahmadizar, "Reliability optimization of a series system with multi-plechoice and budget constraints using an effcient ant colony approach", Expert Systems with Applications (2010)
  3. R. E. Bellmann, "Decision making in a fuzzy environment", Management Science, 17, pp.141~164 (1970)
  4. A. K. Bhunia, "Reliability stochastic optimization for a series system with interval component reliability via genetic algorithm", Applied Mathematics and Computation, 216, pp.929~939 (2010)
  5. B. Y. Cao, "Solution and theory of question for a kind of fuzzy positive geometric program", Proc. 2nd IFSA Congress, pp.205~208 (1987)
  6. B. Y. Cao, "Fuzzy geometric programming (I)", Fuzzy Sets and Systems, 53, pp.135~153 (1993)
  7. B. Y. Cao, "Fuzzy Geometric Programming" (2002), Springer
  8. R. J. Duffin, "Geometric Programming-Theory and Application" (1967), John Wiley
  9. A. J. Federowicz, "Use of Geometric programming to maximize reliability achieved by redundancy", Operations Research, 16, pp.948~954 (1968)
  10. K. K. Govil, "Geometric programming method for optimal reliability allocation for a series system subject to cost constraint", Microelectronic Reliability, 23, pp.783~784 (1983)
  11. K. K. Govil, "Optimal maintainability allocation using geometric programming method", Mi-croelectronics Reliability, 32, pp.265~266 (1992)
  12. R. K. Gupta, "A GA based penalty function technique for solving constrained redundancy allocation problem of series system with interval valued reliability of components", Journal of Computational and Applied Mathematics, 232, pp.275~284 (2009)
  13. H. Z. Huang, "Fuzzy multi-objective optimization decision-making of reliability of series system", Microelectronics and Reliability, 37, pp.447~449 (1997)
  14. B. Liu, "Uncertain Reliability Analysis", pp.125~130 (2010), Springer
  15. G. S. Mahapatra, "Fuzzy multi-objective mathematical programming on relia-bility optimization model", Applied Mathematics and Computation, 174, pp.643~659 (2006)
  16. G. S. Mahapatra, "Optimal fuzzy reliability for a series system with cost con-straint using fuzzy geometric programming", Tamsui Oxford Journal of Management Sciences, 22, pp.53~63 (2006)
  17. N. Nahas, "Ant system for reliability optimization of a series system with multiple-choice and budget constraints", Reliability Engineering & System Safety, 87, pp.1~12 (2005)
  18. K. S. Park, "Fuzzy apportionment of system reliability", IEEE Transactions on Reliability, R-36, pp.129~132 (1987)
  19. N. Ruan, "An exact algorithm for cost minimization in series reliability systems with multiple component choices", Applied Mathematics and Computation, 181, pp.732~741 (2006)
  20. C. S. Sung, "Reliability optimization of a series system with multiple-choice and budget constraints", European Journal of Operational Research, 127, pp.159~171 (2000)
  21. F. A. Tillman, "Optimal reliability of a complex system", IEEE Transactions on Reliability, R-19, pp.95~100 (1970)
  22. F. A. Tillman, "Optimization techniques for systems reliability with redundancy review", IEEE Transactions on Reliability, R-28, pp.148~155 (1977)
  23. L. A. Zadeh, "Fuzzy sets", Inform. Control, 8, pp.338~353 (1965)
  24. C. Zener, "Engineering Design by Geometric Programming" (1971), Wiley-Interscience
  25. Y. L. Zhang, "A geometric process repair model for a series repairable system with k dissimilar components", Applied Mathematical Modelling, 31, pp.1997~2007 (2007)

관련 논문AI추천

Fuzzy optimization problem with an interval coefficients approachM. Goodarzi, M. Saraj장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제3호Reliability Analysis of Systems Using Interval Valued Neutrosophic Sets조상엽한국지식정보기술학회 · 한국지식정보기술학회 논문지2015 · 제10권 제5호Fuzzy reliability appraisal of complex structures using multi-valued neutrosophic setDEEPAK KUMAR장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2025 · 제28권 제4호A new approach to combine generalized interval valued fuzzy numbers based on average width of fuzzy set conceptPalash Dutta기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2017 · 제13권 제3호Generalized hesitant fuzzy geometric aggregation operators and their applications in multicriteria decision makingJie Yang기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2017 · 제13권 제1호Reliability Analysis of Systems Using Single Valued Neutrosophic Sets조상엽한국지식정보기술학회 · 한국지식정보기술학회 논문지2015 · 제10권 제4호

이 간행물의 다른 논문 (9건)

Fuzzy subsemigroups and fuzzy ideals with operators in semigroupsYoung Bae Jun, Hee Sik Kim, Kul Hurpp. 1-12Some remarks on strong semilattices of monoidsS. K. Elaganpp. 13-23Cubic q-ideals of BCI-algebrasYoung Bae Jun, Jeong Gi Kang, Chang Su Kimpp. 25-34Interval-valued fuzzy h-ideals of $\Gamma$-hemiringsYunqiang Yin, Xinhe Linpp. 35-43Fixed point theorem in $\epsilon$-chainable fuzzy metric spaces via absorbing mapsAnuja P. Chouhan, Abhay S. Ranadivepp. 45-53
원문 보기