International Journal of Fuzzy Computation and Modelling (9 papers in press)
Solution of First Order System of Differential Equation in Fuzzy Environment and its Application
by Sankar Mondal, Tapan Roy
Abstract: In this paper, we solve a system of differential equation of first order in fuzzy environment using generalized Hukuhara derivative approach. Four different cases are discussed for said differential equation: (i) coefficient is positive crisp number and initial condition is fuzzy number, (ii) coefficient is negative crisp number and initial condition is fuzzy number ,(iii) coefficient is fuzzy number and initial condition is fuzzy number and (iv) coefficient is interval number and initial condition is fuzzy number . Finally we apply the results in Lanchaster Combat Model. The solution comes in the application are defuzzified by removal area method.
Keywords: Fuzzy sets; Fuzzy Differential equation; Lanchaster Combat Model; Removal area method for defuzzification.
SOME RESULTS ON FUZZY SOFT BANACH ALGEBRA
by Thangaraj Beaula
Abstract: In this paper, a notion of fuzzy soft Banach algebra is introduced and its properties are studied. The properties of soft invertible elements and relation among soft invertible elements, fuzzy soft open set and fuzzy soft closed set are emphasized. Fuzzy soft Topological divisors of zero with respect to fuzzy soft norm and αnorm of fuzzy soft real numbers are defined and its relations with fuzzy soft closed set are studied.
Keywords: Fuzzy soft continuous; invertible soft elements; fuzzy soft Banach algebra; open ball; Topological divisor of zero.
Robust Type-2 Fuzzy C-Means Load Frequency Controller For Multi Area (Geo-Thermal Hydro Thermal) Inter Connected Power System with GRC
by Anand Gondesi, Vijaya Santhi Rajamahanthi, Sudha K.R.
Abstract: Load Frequency Control (LFC) exerts a significant influence in determining the performance of an interconnected power system. The existing control strategies employed for LFC are mainly dependent on parameter variations which leads to poor performance of the system. The present paper proposes a new approach to investigate the LFC problem of a multi-area system considering Generation Rate constraints (GRC) implementing Type-2 Fuzzy system (T2FS). Type-2 Fuzzy C-Means clustering technique (T2FCM) is used for generation of optimized rule base. The proposed method is tested on three-area power system (first area with two Geothermal - one hydro unit, second area with three thermal units and third area with two thermal - one hydro unit tied together) to illustate its robust performance under different operating conditions. The result shows the performance of the proposed controller is much better than conventional controller and Fuzzy C-means Controller in terms of undershoot, overshoot, and settling time.
Keywords: Load Frequency Control (LFC);Type -2 Fuzzy system (T2FS); Generation Rate Constraint (GRC);Type-2 Fuzzy C-Means clustering (T2FCM);.
SOME RESULTS ON FUZZY 2-BANACH SPACES
by Cokilavany Diraviam, Meenakshi AR
Abstract: The notion of a fuzzy 2-Banach space is studied and examples are provided to illustrate the fuzzy 2-Banach space. Further, it is proved that every fuzzy 2-normed linear space of dimension 2 is a fuzzy 2-Banach space when the underlying field is complete.
Keywords: Fuzzy 2-norm; Bounded linear 2-functional; Continuous linear 2-functional; Fuzzy 2-Banach space
Interval Optimality Analysis in Erlang Bulk Arrival Model in Fuzzy Environment
by Subramanian Bhuvaneswari
Abstract: In this paper, we propose a methodology to analyze the best arrival of K-phase Erlang distribution in fuzzy environment. We consider the queue parameters as triangular fuzzy numbers. At First we construct the inverse membership of the steady state performance measures. Second we construct the pairs of MINLP to calculate the lower and upper bound of the performance measure at the different possibility level of via Zadeh extension principle. We analyze the interval of the best arrival optimality using Testing of Hypothesis. A numerical example is illustrated.
Keywords: Fuzzy set; MINLP; K-phase Erlang Distribution; Chi-Square distribution.
Generalized Intuitionistic Fuzzy Entropy and Weighted Correlation with Application in Multi attributes Decision Making
by Pratiksha Tiwari
Abstract: The present paper introduces generalized entropy for intuitionistic fuzzy entropy of order alpha with the evidences of it validity along with some of its properties. The proposed measure is generalization of the entropy given by De Luca and Termini . It has been used to determine weights of both experts and attributes in intuitionistic fuzzy environment using decision matrices in multi-attributes decision making problem with unknown weights. Further, weighted correlation coefficient is defined using the proposed entropy measure and correlation coefficients between alternatives and ideal point are determined. Value of correlation coefficient is used to rank the alternative and the alternative with greatest weighted correlation coefficient is selected as an optimal solution. Finally, an illustrative example describes its application on multi-attributes decision making problem with undefined weights
Keywords: Intuitionistic fuzzy set; Intuitionistic fuzzy entropy; weights; weighted correlation coefficient; multi- attributes decision-making problem.
A new computational method for solving fully fuzzy nonlinear matrix equations
by Raheleh Jafari, Ahmad Jafarian
Abstract: Since the uncertainty in parameters can be transformed into fuzzy set theory, fuzzy set and fuzzy system theory are good tools to deal with uncertainty systems. The popularity related to fuzzy nonlinear systems has always shown an upward trend, and also incorporated with wide spread applications in industries. The solutions of them are applied to analyze many engineering problems. Multi formulations and computational methodologies have been suggested to extract solution related to fuzzy nonlinear programming problems. However, In some cases the methods which have been utilized in order to find the solution of these problems involve greater complexity. On the basis of the mentioned reason, the current research work is intended towards introduction of a simple method for finding the fuzzy optimal solution related to fuzzy nonlinear issues. The main idea is on the basis of employing nonlinear system with equality constraints in order to find nonnegative fuzzy number matrixes X ̃,X ̃^2,,X ̃^n which satisfies A ̃X ̃+C ̃X ̃^2+⋯+E ̃X ̃^n=B ̃ where A ̃,C ̃,,E ̃ and B ̃ are n
Keywords: Fuzzy solution; Fuzzy numbers; Fully fuzzy nonlinear system; Fully fuzzy matrix equations.
Implementation of Fuzzy-PID controller with Demand Response control to LFC Model in Real Time using Lab VIEW
by Vijaya Santhi Rajamahanthi, Srividya Devi P
Abstract: This paper presents real time simulation for single area power system with Demand Response (DR) to evaluate the performance of controller using LabVIEW. Here the mathematical model of LFC-DR for explorations is considered with external load disturbance are given in real time. In this, controller is checked non real time simulation environmental platform and transformed the controller into a real-time model controller, which is used for testing in real operating conditions. This simulation in real time provides a rapid solution for prototyping novel functions in different types of industrial processes and devices which are to be controlled in complex system. With the controller, simulation is carried out to monitor the results, i.e. the change in Frequency deviation, the response plots are obtained for 1% to 100% load disturbance. It shows better performance and superiority by using Fuzzy -PID Controller based LFC-DR single-area power system have over a classical controller under different operating scenarios
Keywords: Load Frequency Control; Demand Response; Fuzzy Logic Control; Pad.
Application of fuzzy inference techniques in the production of Eco-friendly Aminoplast based modied resins for plywood panel industries
by Sanghamitra Dey, Dipak Kumar Jana, Pijush .K Khatua, Anupam Mukherjee
Abstract: Aminoplast based resins are the important and most widely used adhesive in plywoodrnpanel industries. Environmental concerns and higher cost of petroleum based resins have resulted inrnthe development of technologies to replace melamine partially by biomaterials for the manufacturingrnof resin adhesive. This paper presents the development of melamine, animal glue formaldehydernresin as exterior grade binder. About 25% to 30% melamine was substituted by animal glue andrnoptimized. Input variables included pressure, temperature, pH, percentage of melamine, animalrnglue and formalin of the polymerisation reactors. Different strength properties (tensile strength,rnglue shear strength, internal bond strength) are considered as output variables. Statistical datarnanalysis is performed with some sensitivity analyses via neural network. This technique for thernproduction of bio based wood adhesive is cost effective, eco-friendly and could be an ideal solutionrnof petroleum based non-biodegradable resin adhesives.
Keywords: Adhesive; Fuzzy-logic; Fuzzy Inference System; Neural Network, Natural bio-based materials.