Shiva Raj Singh

• Ph.D.
• Professor at Banaras Hindu University

Agricultural production is dependent on several imprecise factors and therefore the parameters used in defining fuzzy goals in agricultural production system should be imprecise rather than crisp. Thus for modeling of such systems, we take coefficients defining fuzzy goal as fuzzy number rather than crisp one. In this paper, we deal with the agricu...

In this paper, we establish Lagrange multiplier rules in terms of Michel-Penot subdifferential for nonsmooth vector optimization problem. A constraint qualification or regularity condition in terms of Michel-Penot subdifferential is given and under this regularity condition the boundedness of certain sets of Lagrange multipliers are discussed.

https://scholar.google.co.in/citations?user=SRtbZSQAAAAJ&hl=en

In modeling of an optimization problem, situations arise when the information about the objective functions and/or constraints are imprecise. One efficient approach to deal with such problems is considering the solution of such optimization problems in intuitionistic fuzzy environment. Here, we have considered the imprecise coefficients of objectiv...

This paper is comprised of the modeling and optimization of a multi objective linear programming problem in fuzzy environment in which some goals are fractional and some are linear. Here, we present a new approach for its solution by using α-cut of fuzzy numbers. In this proposed method, we first define membership function for goals by introducing...

In this paper, we present a multi-objective linear fractional programming (MOLFP) approach for multi-objective linear fuzzy goal programming (MOLFGP) problem. Here, we consider a problem in which a set of pair of goals are optimized in ratio rather than optimizing them individually. In particular, we consider the optimization of profit to cash expe...

paper is an application study of intuitionistic fuzzy optimization technique in agricultural production planning problem particularly a case of smallholder farmer in north Bihar, India. Generally, the crop planning problem is formulated as linear programming problems. but in realistic situation there are many uncertain factors in agricultural produ...

In this paper, we proposed a new ranking method for intuitionistic fuzzy numbers (IFNs) by using centroid and circumcenter of membership function and non-membership function of the intuitionistic fuzzy number. The method utilizes the midpoint of the circumcenter of membership and non-membership function of intuitionistic fuzzy number to define the...

In the paper, we give a new method for solution of multi-objective linear programming problem in intuitionistic fuzzy environment. The method uses computation of the upper bound of a non-membership function in such way that the upper bound of the non-membership function is always less than the upper bound of the membership function of intuitionisti...

In this paper, we investigate some properties of Michel Penot subdifferentials of locally Lipschitz functions and establish Lagrange multiplier rule in terms of Michel-Penot subdifferentials for nonsmooth mathematical programming problem.

We establish some relationships between vector variational-like inequality problems and nonsmooth vector optimization problems under the restriction that function is locally Lipschitz α-invex, acting between infinite dimensional spaces. We investigate the weakly efficient points, vector critical points and the solution of the non-smooth weak vector...

This paper presents a computational method of forecasting based on high-order fuzzy time series. The developed computational method provides a better approach to overcome the drawback of existing high-order fuzzy time series models. Its simplicity lies with the use of differences in consecutive values of various orders as forecasting parameter and...

In this paper, a computational method of forecasting based on fuzzy time series have been developed to provide improved forecasting results to cope up the situation containing higher uncertainty due to large fluctuations in consecutive year's values in the time series data and having no visualization of trend or periodicity. The proposed model is o...

Present study proposes an improved and versatile method of forecasting based on the concept fuzzy time series forecasting. The developed model has been presented in a form of simple computational algorithms. It utilizes various difference parameters being implemented on current state for forecasting the next state values to accommodate the possible...

A linearized form of the Boussinesq equation was solved analytically to predict the water table fluctuation in subsurface drained farmland in the presence of recharge and evapotranspiration (ET). The recharge was assumed to be variable with time and the ET considered decreasing linearly with a decrease in the water table height above the drains. Th...

Forecasting using fuzzy time series models needs computations of fuzzy relations in adjacent observations of time series data. In view of getting better forecasted values, these fuzzy relations have been considered as time invariant and time variant, and have been computed in several ways. However, the complication lies with the various rules devel...

In fuzzy time series forecasting various methods have been developed to establish the fuzzy relations on time series data having linguistic values for forecasting the future values. However, the major problem in fuzzy time series forecasting is the accuracy in the forecasted values. The present paper proposes a new method of fuzzy time series forec...

An analytical solution for the Boussinesq equation using Werner method of linearization have been obtained to describe falling water table between two parallel drains installed at sloping/nonsloping aquifer for flat, parabola and elliptical initial water table profiles. Midpoints of falling water table between parallel drains obtained from proposed...

In this paper we have derived kinetic equations for the decay of kinetic and thermal energy of a weak homogenous turbulent flow in which the fluctuating temperature field is superimposed on the eddy velocity field. Random fluctuations of velocity and temperature in a one-dimensional model have been considered on the basis of wavenumbers in Fourier...

In the present paper, we have considered turbulent flow of an incompressible, viscous fluid which is nearly isotropic with an extra vector argument (i.e. rotational symmetry) and spatially homogeneous. The expression for acceleration covariance in presence of Coriolis force has been derived and solution has been obtained in terms of defining scalar...

This paper intends to make a comprehensive study on solutions of fuzzy linear and non linear system of equations. Here, we propose the numerical solution for fuzzy system of equations by using the gaussian membership function to the fuzzy numbers considering in its parametric form. Numerical illustrations have been made to get the insight the scope...