Forthcoming articles


International Journal of Fuzzy Computation and Modelling


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International Journal of Fuzzy Computation and Modelling (6 papers in press)


Regular Issues


  • Solution of First Order System of Differential Equation in Fuzzy Environment and its Application   Order a copy of this article
    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   Order a copy of this article
    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   Order a copy of this article
    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   Order a copy of this article
    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   Order a copy of this article
    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   Order a copy of this article
    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 [3]. 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.