Multi-objective fuzzy quadratic probabilistic programming problem involving fuzzy Cauchy random variable

2018 ◽  
Vol 32 (4) ◽  
pp. 495
Author(s):  
Narmada Ranarahu ◽  
Jayanta Kumar Dash ◽  
Srikumar Acharya
Keyword(s):  
Programming Problem ◽  
Random Variable ◽  
Probabilistic Programming ◽  
Multi Objective

scholarly journals Laplace Distribution And Probabilistic (bi) In Linear Programming Model

2011 ◽  
Vol 17 (61) ◽  
pp. 20
Author(s):  
Ali Khaleel Al-zubidi
Keyword(s):  
Linear Programming ◽  
Nonlinear Programming ◽  
Programming Problem ◽  
Programming Model ◽  
Random Variable ◽  
Laplace Distribution ◽  
Probabilistic Programming ◽  
Economic Agents ◽  
Specification Errors ◽  
Nonlinear Programming Model

The theory of probabilistic programming  may be conceived in several different ways. As a method of programming it analyses the implications of probabilistic variations in the parameter space of linear or nonlinear programming model. The generating mechanism of such probabilistic variations in the economic models may be due to incomplete information about changes in demand, pro­duction and technology, specification errors about the econometric relations presumed for different economic agents, uncertainty of various sorts and the consequences of imperfect aggregation or disaggregating of economic variables. In this Research we discuss the probabilistic programming problem when the coefficient bi is random variable with given Laplace distribution.

Multi-objective bilevel fuzzy probabilistic programming problem

OPSEARCH ◽  
2017 ◽  
Vol 54 (3) ◽  
pp. 475-504 ◽  
Author(s):  
N. Ranarahu ◽  
J. K. Dash ◽  
S. Acharya
Keyword(s):  
Programming Problem ◽  
Probabilistic Programming ◽  
Multi Objective

Solving multi-objective fuzzy probabilistic programming problem

2014 ◽  
Vol 26 (2) ◽  
pp. 935-948 ◽  
Author(s):  
S. Acharya ◽  
N. Ranarahu ◽  
J.K. Dash ◽  
M.M. Acharya
Keyword(s):  
Programming Problem ◽  
Probabilistic Programming ◽  
Multi Objective

scholarly journals A comparative study on interval arithmetic operations with intuitionistic fuzzy numbers for solving an intuitionistic fuzzy multi–objective linear programming problem

2017 ◽  
Vol 27 (3) ◽  
pp. 563-573 ◽  
Author(s):  
Rajendran Vidhya ◽  
Rajkumar Irene Hepzibah
Keyword(s):  
Linear Programming ◽  
Programming Problem ◽  
Linear Programming Problem ◽  
Fuzzy Numbers ◽  
Optimization Method ◽  
Arithmetic Operations ◽  
Intuitionistic Fuzzy Numbers ◽  
Multi Objective ◽  
Intuitionistic Fuzzy ◽  
Interval Valued

AbstractIn a real world situation, whenever ambiguity exists in the modeling of intuitionistic fuzzy numbers (IFNs), interval valued intuitionistic fuzzy numbers (IVIFNs) are often used in order to represent a range of IFNs unstable from the most pessimistic evaluation to the most optimistic one. IVIFNs are a construction which helps us to avoid such a prohibitive complexity. This paper is focused on two types of arithmetic operations on interval valued intuitionistic fuzzy numbers (IVIFNs) to solve the interval valued intuitionistic fuzzy multi-objective linear programming problem with pentagonal intuitionistic fuzzy numbers (PIFNs) by assuming differentαandβcut values in a comparative manner. The objective functions involved in the problem are ranked by the ratio ranking method and the problem is solved by the preemptive optimization method. An illustrative example with MATLAB outputs is presented in order to clarify the potential approach.

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