This contribution aims at the dissemination of a similarity-based generalization of fuzzy orderings, however, not from a purely theoretical perspective, but from the viewpoint of possible practical applications. After a short motivation of similarity-based fuzzy orderings, we consider four case studies with the aim to illustrate the application potential of fuzzy orderings—flexible query answer...

the planning of production and control of inventory problem is one of most important problems that companies are face with them. some times inattention to uncertainty in these problems causes to increase of costs of inventory control systems. one of the important ways encountering to uncertainty is the widespread of fuzzy sets instead of crisp numbers because in this approach, we can determine ...

In practical signal detection scenarios, parameters of a random process are often uncertain. In this paper, we model such uncertainties as fuzzy parameters of a stationary random process. A fuzzy Neyman-Pearson hypothesis test concept which accepts any number of fuzzy parameters is presented. A suitable decision rule is developed by applying theory for ordering fuzzy numbers, and stated in term...

In this paper, the concept of fuzzy transformation is developed based on fuzzy ordering theory. The clustering property of the fuzzy transformation is investigated by deriving the distribution function of the fuzzy samples and is exploited to address the DCT coded image deblocking problem. In this application, the fuzzy transformation is actually a highly data-adaptive smoothing and sharpening ...

This paper develops Fuzzy inventory model to determine the relevant profit maximizing decision variable values. The model proposed is based on individual profits of vendor and buyer and joint total profit of them which finds out optimal ordering quantity, selling price and shipment policies. Shortages are allowed for both of them. Production rate, ordering quantity, shortage and holding cost of...

In this paper, the fuzzy scalar median (FSM) is proposed, defined by using ordering of fuzzy numbers based on fuzzy minimum and maximum operations defined by using the extension principle. Alternatively, the FSM is defined from the minimization of a fuzzy distance measure, and the equivalence of the two definitions is proven. Then, the fuzzy vector median (FVM) is proposed as an extension of ve...

This paper will introduce a new method to obtain the order weightsof the Ordered Weighted Averaging (OWA) operator. We will first show therelation between fuzzy quantifiers and neat OWA operators and then offer anew combination of them. Fuzzy quantifiers are applied for soft computingin modeling the optimism degree of the decision maker. In using neat operators,the ordering of the inputs is not...