Interactive goal programming algorithm with Taylor series and interval type 2 fuzzy numbers

This paper presents an interactive fuzzy goal programming (FGP) approach for solving Multiobjective Nonlinear Programming Problems (MONLPP) with interval type 2 fuzzy numbers (IT2 FNs). The cost and time of the objective functions, and the requirements of each kind of resources are taken to be trape...

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Bibliographic Details
Published in:International journal of machine learning and cybernetics Vol. 10; no. 6; pp. 1563 - 1579
Main Authors: Dalman, Hasan, Bayram, Mustafa
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2019
Springer Nature B.V
Subjects:
Algorithms
Artificial Intelligence
Complex Systems
Computational Intelligence
Control
Decision making
Engineering
Equivalence
Expected values
Fuzzy sets
Goal programming
Linear programming
Mathematical programming
Mechatronics
Memberships
Multiple objective analysis
Nonlinear programming
Optimization
Original Article
Pattern Recognition
Robotics
Systems Biology
Taylor series
Interactive mechanism
Fuzzy goals
Taylor series
Interval type 2 fuzzy sets
Multiobjective nonlinear programming
ISSN:1868-8071, 1868-808X
Online Access:Get full text
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Summary:This paper presents an interactive fuzzy goal programming (FGP) approach for solving Multiobjective Nonlinear Programming Problems (MONLPP) with interval type 2 fuzzy numbers (IT2 FNs). The cost and time of the objective functions, and the requirements of each kind of resources are taken to be trapezoidal IT2 FNs. Here, the considered fuzzy problem is first transformed into an equivalent crisp MONLPP, and then the MONLPP is converted into an equivalent multiobjective linear programming problem (MOLPP). By using an algorithm based on Taylor series, this problem is also reduced into a single objective linear programming problem (LPP) which can be easily solved by Maple 2017 optimization toolbox. Finally, the proposed solution procedure is illustrated by a numerical example.
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ISSN:1868-8071
1868-808X
DOI:10.1007/s13042-018-0835-4