ScieXplore: International Journal of Research in Science

Open Access Open Access  Restricted Access Subscription Access

A New Procedure for Solving Direct Insignificant Programming Problem


Affiliations
1 Department of Mathematics, Gobi Arts and Science, Gobi – 638476, Tamil Nadu, India
 

In this paper, an effort has been taken to develop an algorithm for solving Intuitionistic Fuzzy Direct Insignificant Programming Problem (IFLFPP). Here, the cost coefficients in the objective function of IFLFPP are taken as Symmetric Triangular Intuitionistic Fuzzy Numbers (STriIFNs). The problem has been solved in the crisp environment by using direct ranking function. A numerical example is given to illustrate the importance of the proposed method.


Keywords

Intuitionistic Fuzzy Direct Insignificant Programming Problem, Ranking Function, Symmetric Triangular Intuitionistic Fuzzy Number.
User
Notifications
Font Size


  • Atanassov KT. Intuitionistic Fuzzy Sets: Theory and Applications. Springer-Verlag: Berlin Heidelberg; 1999.

  • Swarup K, Gupta PK, Mohan M. Introduction to management science operations research. New Delhi: Sultan Chand and Sons, Educational Publishers; 2013.

  • Pramy FA. An approach for solving fuzzy multi-objective Direct Insignificant Programming Problems. International Journal of Mathematical, Engineering and Management Sciences. 2018; 3(3):280–93.

  • Singh SK, Yadav SP. Fuzzy programming approach for solving Intuitionistic Fuzzy Direct Insignificant Programming Problem. International Journal of Fuzzy Systems. SpringerVerlag: Berlin Heidelberg; 2015.

  • Deb M, De PK. Optimal solution of a Fully Fuzzy Direct Insignificant Programming Problem by using graded mean integration representation. Applications and Applied Mathematics: An International Journal. 2015; 10(1):571–87.

  • Simi FA, Talukder MS. A new approach for Solving Direct Insignificant Programming Problem with Duality Concept. Open Journal Optimization. 2017; 6:1–10. https://doi.org/10.4236/ojop.2017.61001

  • Kumar S, Mandal T. Solving Direct Insignificant Programming Problems using a new homotopy perturbation method. Operations Research and Application: An International Journal. 2015; 2(3):

  • Parvathi R, Malathi C. Direct programing using symmetric triangular Intuitionistic Fuzzy Numbers. Numerical Analysis and Applied Mathematics ICNAAM 2012, AIP Conf Proc. 1479; 2012. 2086–89. https://doi.org/10.1063/1.4756601

  • Biswas A, Verma S, Ojha DB. Optimality and convexity theorems for Direct Insignificant Programming Problem. International Journal of Computational and Applied Mathematics. 2017; 12:911–6.

  • Nachammai Al, Thangaraj P. Solving Fuzzy Direct Insignificant Programming Problem using metric distance ranking. Applied Mathematics Sciences. 2012; 6:1275–85.

  • Charnes A, Cooper WW. Programming with Direct Insignificant Functionals. Naval Research Logistics Quart. 2012; 9:181–6. https://doi.org/10.1002/nav.3800090303

  • Bellman RE, Zadeh LA. Decision Making in Fuzzy Environment. Management Science. 1970; 17:141–6. https://doi.org/10.1287/mnsc.17.4.B141

  • Bajalinov EB. Direct Insignificant Programming: Theory, methods, applications and software. Kluwer Academic Publishers: Boston.

  • Mehlawat MK, Kumar S. A solution procedure for a Direct Insignificant Programming Problem with Fuzzy Numbers. Proceedings of the International Conference on SocProS. Springer, AISC. 2011; 130:1037–49.


Abstract Views: 614

PDF Views: 186




  • A New Procedure for Solving Direct Insignificant Programming Problem

Abstract Views: 614  |  PDF Views: 186

Authors

C. Malathi
Department of Mathematics, Gobi Arts and Science, Gobi – 638476, Tamil Nadu, India
M. Saranyaa
Department of Mathematics, Gobi Arts and Science, Gobi – 638476, Tamil Nadu, India
R. Geetha
Department of Mathematics, Gobi Arts and Science, Gobi – 638476, Tamil Nadu, India

Abstract


In this paper, an effort has been taken to develop an algorithm for solving Intuitionistic Fuzzy Direct Insignificant Programming Problem (IFLFPP). Here, the cost coefficients in the objective function of IFLFPP are taken as Symmetric Triangular Intuitionistic Fuzzy Numbers (STriIFNs). The problem has been solved in the crisp environment by using direct ranking function. A numerical example is given to illustrate the importance of the proposed method.


Keywords


Intuitionistic Fuzzy Direct Insignificant Programming Problem, Ranking Function, Symmetric Triangular Intuitionistic Fuzzy Number.

References





DOI: https://doi.org/10.15613/sijrs%2F2017%2Fv4i2%2F184634