Solving equality and inequality constraints FLPP using intuitionistic fuzzy numbers with different techniques

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Abstract

This article explains discovery fuzzy optimal solution without transforming into crisp LP Problems and ranking
method. On the other hand, an attempt has been made by newly introducing the triangular and pentagonal IFN
to deal with FLP problems with all types of constraints. The maximization and minimization FLP problems are
solved by different Big-M techniques which are further compared, and an optimal solution has been found. The
purpose of this paper is to arrive at the finest technique for unraveling FLP problems with triangular IFN and
pentagonal IFN. The various Big-M methods are compared to solve FLP problems and it is observed that the
answers are identical in each case but Ghadle et.al (Alternative Big-M Method) requires less time and minimum
iterations with desired IFOS.

Keywords:

Fuzzy set, Linear programming,, Pentagonal fuzzy number,, Triangular intuitionistic fuzzy number, Big-M technique

Mathematics Subject Classification:

Mathematics
  • Kirtiwant Ghadle Department of Mathematics Dr. Babasaheb Ambedkar Marathwada University, Aurangabad -431004 (M.S.), India.
  • Mayuri Deshmukh Department of Mathematics Dr. Babasaheb Ambedkar Marathwada University, Aurangabad -431004 (M.S.), India.
  • Omprakash Jadhav Department of Statistics Dr. Babasaheb Ambedkar Marathwada University, Aurangabad -431004 (M.S.), India.
  • Pages: 385-390
  • Date Published: 01-01-2021
  • Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)

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Published

01-01-2021

How to Cite

Kirtiwant Ghadle, Mayuri Deshmukh, and Omprakash Jadhav. “Solving Equality and Inequality Constraints FLPP Using Intuitionistic Fuzzy Numbers With Different Techniques”. Malaya Journal of Matematik, vol. 9, no. 01, Jan. 2021, pp. 385-90, https://www.malayajournal.org/index.php/mjm/article/view/1045.

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Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)

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