scholarly journals Mehar’s method for solving fuzzy sensitivity analysis problems with LR flat fuzzy numbers

2012 ◽  
Vol 36 (9) ◽  
pp. 4087-4095 ◽  
Author(s):  
Neha Bhatia ◽  
Amit Kumar
Keyword(s):  
Sensitivity Analysis ◽  
Fuzzy Numbers

scholarly journals Determining the Efficiency of Fuzzy Logic EOQ Inventory Model with Varying Demand in Comparison with Lagrangian and Kuhn-Tucker Method Through Sensitivity Analysis

2020 ◽  
Vol 1 (3) ◽  
pp. 1-12
Author(s):  
K. Kalaiarasi ◽  
M. Sumathi ◽  
H. Mary Henrietta ◽  
A. Stanley Raj
Keyword(s):  
Sensitivity Analysis ◽  
Fuzzy Logic ◽  
Fuzzy Numbers ◽  
Solution Procedure ◽  
Inventory Model ◽  
Variable Demand ◽  
Holding Costs ◽  
Purchase Cost ◽  
Fuzzy Logic Analysis ◽  
Varying Demand

This paper considers an EOQ inventory model with varying demand and holding costs. It suggests minimizing the total cost in a fuzzy related environment. The optimal policy for the nonlinear problem is determined by both Lagrangian and Kuhn-tucker methods and compared with varying price-dependent coefficient. All the input parameters related to inventory are fuzzified by using trapezoidal numbers. In the end, a numerical example discussed with sensitivity analysis is done to justify the solution procedure. This paper primarily focuses on the aspect of Economic Order Quantity (EOQ) for variable demand using Lagrangian, Kuhn-Tucker and fuzzy logic analysis. Comparative analysis of there methods are evaluated in this paper and the results showed the efficiency of fuzzy logic over the conventional methods. Here in this research trapezoidal fuzzy numbers are incorporated to study the price dependent coefficients with variable demand and unit purchase cost over variable demand. The results are very close to the crisp output. Sensitivity analysis also done to validate the model.

scholarly journals The Economic Order Quantity in a Fuzzy Environment for a Periodic Inventory Model with Variable Demand

2022 ◽  
pp. 102-107
Author(s):  
K. Kalaiarasi ◽  
MARY HENRIETTA H ◽  
M. Sumathi ◽  
A. Stanley Raj
Keyword(s):  
Sensitivity Analysis ◽  
Numerical Analysis ◽  
Fuzzy Numbers ◽  
Economic Order Quantity ◽  
Economic Order ◽  
Order Quantity ◽  
Critical Part ◽  
Intuitionistic Fuzzy Numbers ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Environment

The technique of limiting expenditure plays a critical part in an organization's ability to govern the smooth operation of its management system. The economic order quantity (EOQ) is calculated by solving a nonlinear problem, and the best solution is investigated in a fuzzy and intuitionistic fuzzy environment. The overall cost is made up of several factors, such as demand, holding, and ordering costs. The demand and stock-out characteristics were both fuzzified using fuzzy and intuitionistic fuzzy numbers. The numerical analysis shows the comparison between the two fuzzy numbers through sensitivity analysis.

scholarly journals FUZZY EXTENSION OF THE CODAS METHOD FOR MULTI-CRITERIA MARKET SEGMENT EVALUATION

2017 ◽  
Vol 18 (1) ◽  
pp. 1-19 ◽  
Author(s):  
Mehdi KESHAVARZ GHORABAEE ◽  
Maghsoud AMIRI ◽  
Edmundas Kazimieras ZAVADSKAS ◽  
Reyhaneh HOOSHMAND ◽  
Jurgita ANTUCHEVIČIENĖ
Keyword(s):  
Decision Making ◽  
Sensitivity Analysis ◽  
Fuzzy Numbers ◽  
Group Decision ◽  
Fuzzy Topsis ◽  
Assessment Method ◽  
Market Segment ◽  
Criteria Weights ◽  
The Stability ◽  
A Company

One of the important activities of a company that can increase its competitiveness is market segment evaluation and selection (mse/mss). We can usually consider mse/mss as a multi-criteria decision-making (mcdm) problem, and so we need to use an mcdm method to handle it. Uncertainty is one of the important factors that can affect the process of decision-making. Fuzzy mcdm approached have been designed to deal with the uncertainty of decision-making problems. In this study, a fuzzy extension of the codas (combinative distance-based assessment) method is proposed to solve multi-criteria group decision-making problems. We use linguistic variables and trapezoidal fuzzy numbers to extend the codas method. The proposed fuzzy codas method is applied to an example of market segment evaluation and selection problem under uncertainty. To validate the results, a comparison is performed between the fuzzy codas and two other mcdm methods (fuzzy edas and fuzzy topsis). A sensitivity analysis is also carried out to demonstrate the stability of the results of the fuzz codas. For this aim, ten sets of criteria weights are randomly generated and the example is solved using each set separately. The results of the comparison and the sensitivity analysis show that the proposed fuzzy codas method gives valid and stable results.

scholarly journals Sensitivity Analysis for Interval-valued Fully Fuzzy Linear Programming Problems

2012 ◽  
Vol 10 (6) ◽  
Author(s):  
Neha Bhatia ◽  
Amit Kumar
Keyword(s):  
Sensitivity Analysis ◽  
Linear Programming ◽  
Fuzzy Numbers ◽  
Fuzzy Linear Programming ◽  
New Method ◽  
Trapezoidal Fuzzy Numbers ◽  
Linear Programming Problems ◽  
Interval Valued

In previous studies, it is pointed out that in several situations it is better to use interval-valued fuzzy numbers insteadof triangular or trapezoidal fuzzy numbers. But till now, there is no method that deals with the sensitivity analysis ofsuch linear programming problems in which all the parameters are represented by interval-valued fuzzy numbers. Inthis paper, a new method is proposed for the sensitivity analysis. Finally, the proposed method is illustrated using anumerical example.

A comprehensive study of a backlogging EOQ model with nonlinear heptagonal dense fuzzy environment

2020 ◽  
Vol 54 (1) ◽  
pp. 267-286 ◽  
Author(s):  
Suman Maity ◽  
Avishek Chakraborty ◽  
Sujit Kumar De ◽  
Sankar Prasad Mondal ◽  
Shariful Alam
Keyword(s):  
Sensitivity Analysis ◽  
Fuzzy Number ◽  
Fuzzy Numbers ◽  
Centroid Method ◽  
Numerical Examples ◽  
Eoq Model ◽  
Fuzzy Environment ◽  
Non Linear ◽  
Demand Rate ◽  
Comprehensive Study

This paper deals with an adaptation of an application of nonlinear heptagonal dense fuzzy number. The concept of linear and as well as non-linear for both symmetric and asymmetric heptagonal dense fuzzy number is introduced here. We develop a new ranking method for non-linear heptagonal dense fuzzy number also. Considering a backorder inventory model with non-linear heptagonal dense fuzzy demand rate we have utilized a modified centroid method for defuzzification. For decision maker’s aspects, numerical examples, comparative study with other dense fuzzy numbers and a sensitivity analysis show the superiority of the nonlinear heptagonal dense fuzzy number. Finally, graphical illustrations are made to justify the model followed by a conclusion.

scholarly journals Mehar Methods for Fuzzy Optimal Solution and Sensitivity Analysis of Fuzzy Linear Programming with Symmetric Trapezoidal Fuzzy Numbers

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Sukhpreet Kaur Sidhu ◽  
Amit Kumar ◽  
S. S. Appadoo
Keyword(s):  
Sensitivity Analysis ◽  
Linear Programming ◽  
Fuzzy Numbers ◽  
Optimal Solution ◽  
Fuzzy Linear Programming ◽  
New Method ◽  
Real Numbers ◽  
Trapezoidal Fuzzy Numbers ◽  
Fuzzy Optimal Solution ◽  
Linear Programming Problems

The drawbacks of the existing methods to obtain the fuzzy optimal solution of such linear programming problems, in which coefficients of the constraints are represented by real numbers and all the other parameters as well as variables are represented by symmetric trapezoidal fuzzy numbers, are pointed out, and to resolve these drawbacks, a new method (named as Mehar method) is proposed for the same linear programming problems. Also, with the help of proposed Mehar method, a new method, much easy as compared to the existing methods, is proposed to deal with the sensitivity analysis of the same type of linear programming problems.

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