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Fuzzy decision-making on reliability of series system: Fuzzy geometric programming approach
G. S. Mahapatra,B. S. Mahapatra,P. K. Roy 원광대학교 기초자연과학연구소 2011 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.1 No.1
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.
D. Pal,G.S. Mahapatra,S.K. Mahato,G.P. Samanta 한국전산응용수학회 2020 Journal of applied mathematics & informatics Vol.38 No.1
In this paper, we have presented a multispecies prey-predator harvesting system based on Lotka-Voltera model with two competing species which are affected not only by harvesting but also by the presence of a predator, the third species. We also assume that the two competing fish species releases a toxic substance to each other. We derive the condition for global stability of the system using a suitable Lyapunov function. The possibility of existence of bionomic equilibrium is considered. The optimal harvest policy is studied and the solution is derived under imprecise inflation in fuzzy environment using Pontryagin's maximal principle. Finally some numerical examples are discussed to illustrate the model.
PAL, D.,MAHAPATRA, G.S.,MAHATO, S.K.,SAMANTA, G.P. The Korean Society for Computational and Applied M 2020 Journal of applied mathematics & informatics Vol.38 No.1
In this paper, we have presented a multispecies prey-predator harvesting system based on Lotka-Voltera model with two competing species which are affected not only by harvesting but also by the presence of a predator, the third species. We also assume that the two competing fish species releases a toxic substance to each other. We derive the condition for global stability of the system using a suitable Lyapunov function. The possibility of existence of bionomic equilibrium is considered. The optimal harvest policy is studied and the solution is derived under imprecise inflation in fuzzy environment using Pontryagin's maximal principle. Finally some numerical examples are discussed to illustrate the model.