Hong [Fuzzy Optimization of Decision Making 13 (2014) 415-434, Information Sciences 228 (2013) 45-60.] considers the law of large numbers for T -independent weighted fuzzy variables whose underlying spaces are Rp. He proved T -independent fuzzy renewal theorems and renewal reward theorems with respect to the necessity measure and the expected values of fuzzy variable by using the law of large n...

Problem statement: The process control of steam boiler is very popular used in the industrial. The temperature of the water is transferred directly by electrical heater. The pressure will increase based on the changing of the temperature. The purpose of the control is to change the opening set point for the valve when the temperature and pressure in the tank are changed. For this problem, we de...

The subject of the study was hardware implementations of fuzzy controllers as CMOS analog devices on the base of implementation of fuzzy inference rules as multi-valued logic functions using summing amplifiers as building blocks. Earlier a functional completeness of summing amplifier with saturation in an arbitrary-valued logic was proven that gave a theoretical background for analog implementa...

Linear programming (LP) is the most widely used optimization technique for solving real-life problems because of its simplicity and efficiency. Although conventional LP models require precise data, managers and decision makers dealing with real-world optimization problems often do not have access to exact values. Fuzzy sets have been used in the fuzzy LP (FLP) problems to deal with the imprecis...

Suppose we are given a mathematical programming problem in which the functional relationship between the decision variables and the objective function is not completely known. Our knowledge-base consists of a block of fuzzy if-then rules, where the antecedent part of the rules contains some linguistic values of the decision variables, and the consequence part is a linear combination of the cris...

Suppose we are given a mathematical programming problem in which the functional relationship between the decision variables and the objective function is not completely known. Our knowledge-base consists of a block of fuzzy if-then rules, where the antecedent part of the rules contains some linguistic values of the decision variables, and the consequence part is a linear combination of the cris...

Linear programming (LP) is the most widely used optimization technique for solving real-life problems because of its simplicity and efficiency. Although LP models require well-suited information and precise data, managers and decision makers dealing with optimization problems often have a lack of information on the exact values of some parameters used in their models. Fuzzy sets provide a power...