scholarly journals A fuzzy goal programming approach in stochastic multivariate stratified sample surveys

2013 ◽  
Vol 31 (1) ◽  
pp. 80 ◽  
Author(s):  
Neha Gupta ◽  
Irfan Ali ◽  
Shafiullah ◽  
Abdul Bari
Keyword(s):  
Goal Programming ◽  
Computational Procedure ◽  
Fuzzy Goal Programming ◽  
Programming Approach ◽  
Membership Functions ◽  
Compromise Allocation ◽  
Multivariate Stratified Sampling ◽  
Non Linear ◽  
Fuzzy Goal ◽  
The Individual

This paper deals with fuzzy goal programming (FGP) approach to stochastic multivariate stratified sampling with non linear objective function and probabilistic non linear cost constraint which is formulated as a multiobjective non linear programming problem (MONLPP). In the model formulation of the problem, we first determine the individual best solution of the objective functions subject to the system constraints and construct the non linear membership functions of each objective. The non linear membership functions are then transformed into equivalent linear membership functions by first order Taylor series at the individual best solution point. Fuzzy goal programming approach is then used to achieve maximum degree of each of the membership goals by minimizing negative deviational variables and finally obtain the compromise allocation. A numerical example is presented to illustrate the computational procedure of the proposed approach.

scholarly journals Interactive Fuzzy Goal Programming approach in multi-response stratified sample surveys

2016 ◽  
Vol 26 (2) ◽  
pp. 241-258 ◽  
Author(s):  
Neha Gupta ◽  
Irfan Ali ◽  
Abdul Bari
Keyword(s):  
Linear Programming ◽  
Programming Problem ◽  
Goal Programming ◽  
Linear Programming Problem ◽  
Real Data ◽  
Fuzzy Goal Programming ◽  
Programming Approach ◽  
Compromise Allocation ◽  
Fuzzy Goal ◽  
Interactive Fuzzy Goal Programming

In this paper, we applied an Interactive Fuzzy Goal Programming (IFGP) approach with linear, exponential and hyperbolic membership functions, which focuses on maximizing the minimum membership values to determine the preferred compromise solution for the multi-response stratified surveys problem, formulated as a Multi- Objective Non Linear Programming Problem (MONLPP), and by linearizing the nonlinear objective functions at their individual optimum solution, the problem is approximated to an Integer Linear Programming Problem (ILPP). A numerical example based on real data is given, and comparison with some existing allocations viz. Cochran?s compromise allocation, Chatterjee?s compromise allocation and Khowaja?s compromise allocation is made to demonstrate the utility of the approach.

A fuzzy goal programming approach for selecting sustainable suppliers

2017 ◽  
Vol 24 (5) ◽  
pp. 1138-1165 ◽  
Author(s):  
Peeyush Pandey ◽  
Bhavin J. Shah ◽  
Hasmukh Gajjar
Keyword(s):  
Goal Programming ◽  
Supplier Selection ◽  
Qualitative Data ◽  
Fuzzy Goal Programming ◽  
Programming Approach ◽  
Two Phase ◽  
Content Type ◽  
Lean Practices ◽  
Proposed Model ◽  
Fuzzy Goal

Purpose Due to the ever increasing concern toward sustainability, suppliers nowadays are evaluated on the basis of environmental performances. The data on supplier’s performance are not always available in quantitative form and evaluating supplier on the basis of qualitative data is a challenging task. The purpose of this paper is to develop a framework for the selection of suppliers by evaluating them on the basis of both quantitative and qualitative data. Design/methodology/approach Literature on sustainability, green supply chain and lean practices related to supplier selection is critically reviewed. Based on this, a two phase fuzzy goal programming approach integrating hyperbolic membership function is proposed to solve the complex supplier selection problem. Findings Results obtained through the proposed approach are compared to the traditional models (Jadidi et al., 2014; Ozkok and Tiryaki, 2011; Zimmermann, 1978) of supplier selection and were found to be optimal as it achieves higher aspiration level. Practical implications The proposed model is adaptive to solve real world problems of supplier selection as all criteria do not possess the same weights, so the managers can change the criteria and their weights according to their requirement. Originality/value This paper provides the decision makers a robust framework to evaluate and select sustainable supplier based on both quantitative and qualitative data. The results obtained through the proposed model achieve greater satisfaction level as compared to those achieved by traditional methods.

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