This paper generalizes results of research and experience in the use of fuzzy set theory for handling and overcoming various forms of uncertainty in the design, planning, and control of complex systems. Approaches to solving fundamental problems associated with constructing fuzzy estimates of uncertain parameters, comparing alternatives, developing basic principles and concrete methods of decis...

In most of the practical applications the concept of vague environment [1] gives a simple way for fuzzy approximate reasoning. If the fuzzy partitions (used as primary sets of the fuzzy rulebase) can be described by vague environments [1], the primary fuzzy sets of the antecedent and the consequent parts of the fuzzy rules can be characterised by points in their vague environments. So the fuzzy...

In classical transport models, it is always assumed that parameters such as the distance from each supply node to each demand node or the cost of transferring goods from one node to another, as well as quantities such as supply and demand are definite and definite amounts. But in real matters, considering these assumptions is not logical. On the other hand, there may be a real problem in mathem...

-We present an environment for designing and implementing Fuzzy-ROM control systems. The environment makes use of Matlab products like simulink and fuzzy control toolbox for the controller design and simulation, and uses Mentor Graphics products like FPGA-Advantage, ModelSim, and Leonardo for hardware simulation and synthesis on Xilinx Chips. Through an example, we demonstrate how the proposed ...

For a mobile robot to navigate in a completely unknown environment, it has to perceive its environment locally or globally, reason about its perceptions, and act accordingly. This paper presents a method for building environmental maps for mobile robot navigation using fuzzy classification of ultrasonic range data. The paper concentrates on the classification method. A fuzzy classifier is built...

In this paper, bi-matrix games are investigated based on L-R fuzzy variables. Also, based on the fuzzy max order several models in non-symmetrical L-R fuzzy environment is constructed and the existence condition of Nash equilibrium strategies of the fuzzy bi-matrix games is proposed. At last, based on the Nash equilibrium of crisp parametric bi-matrix games, we obtain the Pareto and weak Pareto...

In today’s economy and society, performance analyses in the services industries attract more and more attention. The traditional data envelopment analysis (DEA) approach requires a consistent operating environment. However, in reality, there is a need to evaluate the units belonging to different environment. This reality challenges the traditional methods of applying DEA theory to real-world ca...

The paper aims to expand the concept of linguistic variable. The study analyzes the common conclusion forms in the evaluation project. The evaluation often makes the final conclusion by analyzing the fuzzy number and its membership function. However, the information of modified word or phrase (“largely”, “preliminary” and “unclear”) has got lost in analysis. The research believe these modified ...

Based on the model of symmetric and asymmetric duopoly option game, this paper discusses the present value of profit flows and the sunk investment costs for the trapezoidal fuzzy number. It constructs the fuzzy expressions of the investment value and investment threshold of followers and leaders under fuzzy environment and conducts numerical analysis. This offers a kind of explanation to the in...