Solving Matrix Games with I-fuzzy Payoffs: Pareto-optimal Security Strategies ApproachAggarwal, A.; Chandra, S.; Mehra, A.
2014 Fuzzy Information and Engineering
doi: 10.1016/j.fiae.2014.08.003
AbstractA recent research work of Clemente etal. [12] on Pareto-optimal security strategies (POSS) in matrix games with fuzzy payoffs is extended to I-fuzzy scenario. Besides, the membership and the non-membership functions of the I-fuzzy values for both players are obtained by employing the technique of multiobjective optimization. The presented approach provides an efficient solution to a class of I-fuzzy matrix games with piecewise linear membership and non-membership functions. This class also includes I-fuzzy matrix games with triangular and trapezoidal I-fuzzy numbers as special cases. Further, POSS approach also provides an approximate solution to I-fuzzy matrix games with payoffs as general I-fuzzy numbers.
New Concepts of Feasibility and Efficiency of Solutions in Fuzzy Mathematical Programming ProblemsAttari, H.; Nasseri, S.H.
2014 Fuzzy Information and Engineering
doi: 10.1016/j.fiae.2014.08.005
AbstractSome new concepts in regards to -feasibility and -efficiency of solutions in fuzzy mathematical programming problems are introduced in this paper, where is a vector of distinct satisfaction degrees. Based on the defined concepts, a new method is suggested to solve fuzzy mathematical programming problems. In this sense, the proposed approach enables decision makers to take into account more flexible solutions by allowing desired distinct satisfactions in constraints. In the case of linear problems with fuzzy constraints, multi-parametric programming is employed to obtain the optimal solution as an affine function of distinct satisfaction degrees. In particular, it proves that the obtained solution is convex and continuous. Therefore, the different optimal solutions can be obtained by a simple substituting the new values of satisfaction parameters into the parametric profiles without any further optimization calculations, which is desirable for online optimization and sensitivity analysis of the profit to satisfaction parameters.
Fuzzy Weak Regular, Strong and Preassociative Filters in Residuated LatticesYang, Wei
2014 Fuzzy Information and Engineering
doi: 10.1016/j.fiae.2014.08.006
AbstractIn this paper, the notions of fuzzy weak regular, strong and preassociative filters are introduced with some properties of them investigated. In particular, under the context of Glivenko algebras, fuzzy weak regular filters and regular ones are equivalent and characterizations of Glivenko algebras are concluded by characterizations of fuzzy strong filters. At last the notion of fuzzy preassociative filters are defined, which are proved to coincide with fuzzy Boolean filters, and then some new alternative definitions of Boolean algebras are obtained by this type of filters.
Fuzzy Multi-fractional Programming for Land Use Planning in Agricultural Production SystemMishra, Babita; Nishad, Anil Kumar; Singh, S.R.
2014 Fuzzy Information and Engineering
doi: 10.1016/j.fiae.2014.08.008
AbstractIn this paper, we present a multi-objective linear fractional programming (MOLFP) approach for multi-objective linear fuzzy goal programming (MOLFGP) problem. Here, we consider a problem in which a set of pair of goals are optimized in ratio rather than optimizing them individually. In particular, we consider the optimization of profit to cash expenditure and crop production in various seasons to land utilization as a fractional objectives and used remaining goals in its original form. Further, the goals set in agricultural production planning are conflicting in nature; thus we use the concept of conflict and nonconflict between goals for computation of appropriate aspiration level. The method is illustrated on a problem of agricultural production system for comparison with Biswas and Pal [1] method to show its suitability.