triangular fuzzy numbers

The classic multiple-criteria decision making (MCDM) model assumes that, when taking a decision, the decision maker has defined a fixed set of criteria and is presented with a clear picture of all available alternatives. The task then reduces to computing the score of each alternative, thus producing a ranking, and choosing the one that maximizes this value. However, most real-world decisions take place in a dynamic environment, where the final decision is only taken at the end of some exploratory process. Dynamic decisions arise in many applications including military, medical, management, sports and emergency situations. This study proposes a flexible framework for dynamic MCDM, based on the concept of fuzzy sets theory and the VIKOR method to provide a rational, scientific and systematic process for prioritizing patients in Emergency Department (ED) under a fuzzy environment where the uncertainty, subjectivity and vagueness are addressed with linguistic variables parameterized by triangular fuzzy numbers.

Statistical Quality Control is an important approach that getting help from statistical tools to illustrate the process. Shewhart control charts is one of the most important techniques of quality control, which is used to show the variance with reason. One type of control charts is control charts for attribute control of defects that can be used with variable sample size. Attribute is under Fuzzy Condition because of uncertainty in the defect of the product and making decision by the inspector. In this study, fuzzy rules are used in the design of fuzzy U control charts. This approach is performed for fuzzy control of the process. Judgments in control of classical charts process is not more than two result, While in the design of fuzzy control charts using the fuzzy rules methods, there are intermediate levels of decision-making too. To check the validity of designed model, it is implemented in company imen khodro shargh for sewing quality characteristics. And the results were compared with the results of classical methods using operating characteristic curve and the results indicate better and faster performance fuzzy control charts to detect changes in the process.

In this paper a new method is proposed to find the fuzzy optimal solution of fuzzy multi-objective linear programming problems (FMOLPp) with fuzzy right hand side and fuzzy decision variables. Due to the imprecise nature of available resources، determination of a definitive solution to the model seems imposible. Therefore، the proposed model is designed in order to make fuzzy decisions. The model resolves the deficiencies of previous models presented in this field and its main advantage is simplicity. To illustrate the efficiency of the proposed method، it is applied to the problem of allocating orders to suppliers. Due to the nature of the fuzzy solutions obtained from solving the model، the decision maker will be faced with more flexibility in decision making.

This paper discusses the problems of those full fuzzy linear programming in which all parameters and variables are fuzzy. Fuzzy optimal solution is real when all constraints of the model are satisfaied and a crisp optimal solution can not be optimal solution of the fuzzy problem. New methods are proposed، evaluated، and compared to find the fuzzy optimal solution of full fuzzy linear programming problems with equality and inequality constraints، including Dehghan et. al.، Lotfi et. al.، Momeni et. al.، and Kumar et al.، methods. Also the use of ranking function for defuzzification of the model and the use of fuzzy slack variables for converting dequity fuzzy constraints to equity ones are proposed. Since، working with triangular fuzzy number is more easier than others، for numerical examples، common triangular fuzzy numbers and LR triangular fuzzy numbers have been used. To illustrate the advantages and disadvantages of the proposed methods، different numerical examples have been solved.

One of the kinds of strategies that organizations can adopt to develop their business، is conglomerate diversification strategy. The right selection this strategy when organizations have high financial and managerial ability، will increases organization competitive advantage. This study aims to prioritize and selection the best conglomerate diversification strategy for andishe gostar khayyam firm due SWOT analysis. This firm due to its high ability to manage the company، has decided to establish a new business. To achieve this goal، in this study، ANP and Dematel techniques in fuzzy coditions is used. In this study، the interviews with the experts and the firm''s strengths and weaknesses and the opportunities and threats that affecting in the selection strategy were determined. Then the network model for investigation due current literature and determined factors was drew and The investigation questionnaire was distributed between experts. Ultimately، the best conglomerate diversification strategy obtained and results for administration sent and the firm implement selected strategy.

Fuzzy linear programming problems are models in which all parameters as well as the variables are represented by fuzzy numbers and are known as FFLP problems. In this paper the shortcomings of the existing methods are pointed out and to overcome these shortcomings، a new method is proposed for finding the fuzzy optimal solution of FFLP problems. To illustrate the proposed method، numerical examples are solved and the obtained results are discussed. Results show that the proposed method is capable of finding the optimal solution in all areas existing methods have shortcomings and its main advantage is simplicity in computations.