We consider the internal rate of return (IRR) decision rule in capital budgeting problems with fuzzy cash flows. The possibility distribution of the IRR at any r ≥ 0, is defined to be the degree of possibility that the (fuzzy) net present value of the project with discount factor r equals to zero. We show that the possibility distribution of the IRR is a highly nonlinear function of quasi-trian...

Process capability indices (PCIs) can be used as an effective tool for measuring product quality and process performance. In classic quality control there are some limitations which prevent a deep and flexible analysis because of the crisp definition of PCA‟s parameters. Fuzzy set theory can be used to add more flexibility to process capability analyses. In this study, the fuzzy X ba and MRx ba...

The present study proposes an algorithm to evaluate the fuzzy availability, reliability, steady state availability, and mean time to failure of a repairable parallel system which consists of three identical and independent components by using Markov model. This system fails when the three components fail or it goes to the critical case. The failure rate and the repair rate of each component is ...

Abstract --In this paper, we developed an EOQ model for Weibull deteriorating items with linear demand rate in fuzzy environment. Shortages are allowed and partially backlogged. Holding cost, deterioration cost, ordering cost, shortage cost and opportunity cost are assumed as a triangular fuzzy numbers. The purpose of this paper is to minimize the total cost function in fuzzy environment. Grade...

Risk assessment is a popular and important tool in decision making process. Risk assessment is generally performed using models and model is a function of some parameters which are usually affected by uncertainty. Here, we consider that model parameters are affected by epistemic uncertainty. To represent epistemic uncertainty in general triangular fuzzy number or trapezoidal fuzzy numbers are u...

In this paper, we consider fuzzy inventory with backorder. First, we fuzzify the storing cost a, backorder cost b, cost of placing an order c, total demand r, order quantity q, and shortage quantity s as the triangular fuzzy numbers in the total cost. From these, we can obtain the fuzzy total cost. Using the signed distance method to defuzzify, we get the estimate of the total cost in the fuzzy...

Triangular norms (t-norms for short) play a crucial role in several fields of mathematics and AI. For an exhaustive overview on t-norms we refer to [20]. Recently an increasing interest of left-continuous t-norm based theories can be observed (see e.g. [3, 5, 6, 7, 18]). In this paper we discuss in detail the presently existing construction methods which result in left-continuous triangular nor...

The effect and quality of education is the fundamental of higher education, and instructional reform is the core one of all reforms in higher education. In order to motivate the instructional reform and enhance the quality of education, the department of education in China has evaluated and rewarded the study performance in instructional practice of educators in higher learning instructions sin...

The main contribution of this paper is to introduce an autonomous definition of the connective “fuzzy exclusive or” (fuzzy Xor, for short), which is independent from others connectives. Also, two canonical definitions of the connective Xor are obtained from the composition of fuzzy connectives, and based on the commutative and associative properties related to the notions of triangular norms, t...

the supplier selection is a multi-criteria decision making which consist both qualities and quantities metrics. a lot of investigations have been published in the supplier selection area and, most of the proposed models focused on manufacturing environments and a few papers have been allocated for service industries. proposed system utilizes new method that transfer the house of quality (hoq) a...