FUZZY MULTI-OBJECTIVE LINEAR PROGRAMMING APPROACH FOR SOLVING PROBLEM OF FOOD INDUSTRY

2018 ◽  
Vol 6 (2) ◽  
pp. 13-19
Author(s):  
Mukesh Kumar Sinha ◽  
Arun Prasad Burnwal ◽  
Chitra Singh
Keyword(s):  
Decision Making ◽  
Fuzzy Logic ◽  
Linear Programming ◽  
Food Industry ◽  
Programming Model ◽  
Fuzzy Linear Programming ◽  
Programming Approach ◽  
Market Uncertainty ◽  
Surrounding Environment ◽  
Different Types

Enterprises and industrial centers need current decision for making products in fast changing market. Uncertainty and yield defined goals make decision making more difficult. In this situation fuzzy logic is used for coping surrounding environment. This paper deals with a fuzzy linear programming model for a problem of food industry. The different types of achievement function such as compensatory and weighted compensatory form 

FUZZY LINEAR PROGRAMMING APPROACH TO MULTI-ATTRIBUTE DECISION-MAKING WITH LINGUISTIC VARIABLES AND INCOMPLETE INFORMATION

2007 ◽  
Vol 10 (04) ◽  
pp. 505-525 ◽  
Author(s):  
DENG-FENG LI ◽  
TAO SUN
Keyword(s):  
Decision Making ◽  
Linear Programming ◽  
Programming Model ◽  
Fuzzy Linear Programming ◽  
Programming Approach ◽  
Final Decision ◽  
Linguistic Variables ◽  
Information Structures ◽  
Decision Matrix ◽  
Multi Attribute Decision Making

The aim of this paper is to develop a new fuzzy linear programming technique for solving multi-attribute decision-making (MADM) problems with incomplete weight preference information under fuzzy environments. In this methodology, linguistic variables are used to capture fuzziness in decision information and decision-making processes by means of a fuzzy decision matrix. Consistency and inconsistency indices are defined on the basis of preference relations between alternatives given by the decision maker under uncertain environments. Each alternative is assessed on the basis of its distance to a fuzzy ideal solution (FIS) which is unknown a priori. Then the FIS and the weights of attributes are estimated using a new linear programming model based upon the consistency and inconsistency indices defined. The fuzzy distance of each alternative to the FIS can be calculated to determine the ranking order of all alternatives. An extended illustrative example on the selection of air-fighters is presented to demonstrate the implementation process of this methodology. The methodology proposed in this paper can deal with MADM problems under not only fuzzy environments but also crisp environments. Also it has been proven that different weight information structures may result in different final decision results.

Fuzzy Linear Programming: A Modern Tool for Decision Making

2012 ◽  
Author(s):  
Pandian M. Vasant ◽  
R. Nagarajan ◽  
Sazali Yaacob
Keyword(s):  
Decision Making ◽  
Linear Programming ◽  
Production Planning ◽  
Membership Function ◽  
Industrial Production ◽  
Real Life ◽  
Fuzzy Linear Programming ◽  
Programming Approach ◽  
Modern Trend ◽  
Application Problem

The modern trend in industrial application problem deserves modeling of all relevant vague or fuzzy information involved in a real decision making problem. In the first part of the paper, some explanations on tri partite fuzzy linear programming approach and its importance have been given. In the second part, the usefulness of the proposed S-curve membership function is established using a real life industrial production planning of a chocolate manufacturing unit. The unit produces 8 products using 8 raw materials, mixed in various proportions by 9 different processes under 29 constraints. A solution to this problem establishes the usefulness of the suggested membership function for decision making in industrial production planning. Key words: Fuzzy linear programming, Satisfactory solution; Decision maker; Implementer; Analyst; Fuzzy constraint; Vagueness.

Application of Multi Objective Fuzzy Linear Programming in Supply Production Planning Problem

2012 ◽  
Author(s):  
Pandian M. Vasant
Keyword(s):  
Linear Programming ◽  
Production Planning ◽  
Membership Function ◽  
Programming Model ◽  
Real Life ◽  
Fuzzy Linear Programming ◽  
Programming Approach ◽  
Planning Problem ◽  
Production Planning Problem ◽  
S Curve

The objective of this paper is to establish the usefulness of modified s-curve membership function in a limited supply production planning problem with continuous variables. In this respect, fuzzy parameters of linear programming are modeled by non-linear membership functions such as s-curve function. This paper begins with an introduction and construction of the modified s-curve membership function. A numerical real life example of supply production planning problem is then presented. The computational results show the usefulness of the modified s-curve membership function with fuzzy linear programming technique in optimising individual objective functions, compared to non-fuzzy linear programming approach. Futhermore, the optimal solution helps to conclude that by incorporating fuzziness in a linear programming model through the objective function and constraints, a better level of satisfactory solution will be provided in respect to vagueness, compared to non-fuzzy linear programming.

FUZZY LINMAP METHOD FOR MULTIATTRIBUTE GROUP DECISION MAKING WITH LINGUISTIC VARIABLES AND INCOMPLETE INFORMATION

2007 ◽  
Vol 15 (02) ◽  
pp. 153-173 ◽  
Author(s):  
DENG-FENG LI ◽  
TAO SUN
Keyword(s):  
Decision Making ◽  
Linear Programming ◽  
Group Decision Making ◽  
Group Decision ◽  
Programming Model ◽  
Implementation Process ◽  
Fuzzy Linear Programming ◽  
Multidimensional Analysis ◽  
Linguistic Variables ◽  
Programming Technique

The aim of this paper is to develop a fuzzy linear programming technique for multidimensional analysis of preference (FLINMAP) in multiattribute group decision making problems with linguistic variables and incomplete preference information. In this paper, linguistic variables are used to assess an alternative on qualitative attributes using fuzzy ratings corresponding to some triangular fuzzy numbers. Each alternative is assessed on the basis of its distance to a fuzzy positive ideal solution (FPIS) which is unknown a priori. The FPIS and the weights of attributes are calculated by constructing a new linear programming model based on the group consistency and inconsistency indices defined on the basis of preferences between alternatives given by the decision makers. The distance of each alternative to the FPIS can be calculated to determine the ranking order of all alternatives. The implementation process of this methodology is demonstrated with an example.

scholarly journals Farm-Boarding School Management: Linear Programming Contributions in the Search of Self-Sufficiency and Optimization

2017 ◽  
Vol 9 (3) ◽  
pp. 59
Author(s):  
Carina Simionato de Barros ◽  
Gabriela Geraldi Mendonça ◽  
Augusto Hauber Gameiro
Keyword(s):  
Decision Making ◽  
Linear Programming ◽  
Programming Model ◽  
Safety Margin ◽  
Boarding School ◽  
Point Of View ◽  
Technical Programs ◽  
Modeling Process ◽  
Self Sufficiency ◽  
Education Of Students

Farm schools offer a learning environment for the education of students in Agricultural Technical Programs and offer this program adopting boarding systems (“farm-boarding schools” or “FBS”). The big challenge in FBS is balancing education and production, that is, provide resources for practical classes and at the same time provide food for farm residents from a pre-defined budget by the sponsoring institution. The aim of this paper is to present a linear programming model to plan and optimize FBS production and supply. The model was applied in two FBS in Brazil. The model developed could show the complexity of the FBS system, which features a variety of productions and the interactions among them. The modeling process presented positive results from a technical and managerial point of view, including people management. The formulated model showed an optimized scenario which extended the managers’ analysis horizon and allowed safer decision making. The system’s complexity hampers dialogue between the farm-boarding school team and managers. From the modeling process and the standardization of data and generated results, there was a greater safety margin to present investment proposals and analyzes, accelerating the decision-making process, which was a positive addition to the system.

scholarly journals Research of the College Enrollment Plan Based on Fuzzy Linear Programming Model

2021 ◽  
Vol 251 ◽  
pp. 01092
Author(s):  
Yuhong Sun ◽  
Guoxing Zhang ◽  
Yueyang Gao ◽  
Mingzhu Chen
Keyword(s):  
Linear Programming ◽  
Mathematical Models ◽  
Hierarchical Structure ◽  
College Enrollment ◽  
Programming Model ◽  
College Admission ◽  
Fuzzy Linear Programming ◽  
Linear Programming Model ◽  
Use Of Resources ◽  
Linear Programming Methods

This paper aims at the problems of professional structure and hierarchical structure in college admission plans, uses linear programming methods to establish mathematical models, maximizes the use of resources on the basis of completing the national enrollment plan, determines the reasonable enrollment structure and enrollment scale, and makes the enrollment plan more scientific and reasonable. In actual situations, the number of students enrolled in the school, the consumption of students, and the number of teachers are constantly changing. Therefore, the concept of fuzzy linear programming is introduced, and the constraints of the linear programming model are fuzzy optimized to obtain more reasonable results, which inspires some reasonable suggestions for colleges in formulating enrollment plans.

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