Unbalanced transportation problem with pentagonal intuitionsitic fuzzy number solved using ambiguity index

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Abstract

This paper provides a solution to an unbalanced Pentagonal Intuitionistic fuzzy transportation problem in which
the total supply is more than the total demand. The cost of the transportation problem is Pentagonal Intuitionistic
Fuzzy Number with degree of membership and degree of non-membership function. A ranking method based
on value and ambiguity index of Pentagonal Intuitionistic Fuzzy Number is used to solve the unbalanced
transportation problem

Keywords:

Pentagonal Intuitionistic Fuzzy Number (PIFN), value index, ambiguity index, alpha cut, beta cut

Mathematics Subject Classification:

Mathematics
  • Pages: 720-724
  • Date Published: 01-01-2021
  • Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)

D. Acharya, M. Basu, and A. Das, More-for-less paradox in a transportation problem under fuzzy environments, $J$. Appl. Computat. Math., 4(2015), 1 - 4.

M.S. Annie Christi, B. Kasthuri, Transportation Problem with Pentagonal Intuitionistic FuzzyNumbers Solved Using Ranking Technique and Russell's Method, Int. Journal of Engineering Research and Applications, 6 (2) (Part - 4) (February 2016), 82-86, ISSN: 2248-9622.

K. Atanassov, More on Intuitionistic Fuzzy Sets, Fuzzy sets and systems, (1989), 7-46.

K.T. Atanassov, Intuitionistic Fuzzy Sets, Fuzzy sets and systems, $20(1)(1986), 87-96$.

K.T. Atanassov, Intuitionistic Fuzzy Sets: Theory and Applications, Physica Verlag, Heidelberg, New York, 1999.

K.T. Atanassov, Intuitionistic Fuzzy sets, Fuzzy sets and systems, $20(1986), 87-96$.

P.K. De, Debaroti Das, A Study on Ranking of Trapezoidal Intuitionistic Fuzzy Numbers, International Journal of Computer Information Systems and Industrial Management Applications, 6(2014), 437-444, ISSN 21507988.

A. Nagoor Gani, and S. Abbas, A new method for solving intuitionistic fuzzy transportation problem, Applied Mathematical Sciences, 7(2013), 1357-1365.

V. Kamal Nasir, V.P. Beenu, Pentagonal Intuitionistic Fuzzy number with Ambiguity Index, Journal of Applied Science and Computations (JASC), VI(VI)(June 2019), $836-847$.

P.S. Kumar and R.J. Hussain, Computationally simple approach for solving fully intuitionistic fuzzy real life transportation problems, International Journal of System Assurance Engineering and Management, (2015), 1-12.

D.F. Li, A ratio ranking method of triangular intuitionistic fuzzy numbers and its application to MADM problems, Computers and Mathematics with Applications, (2010), 1557-1570.

S. Narayanamoorthy, S. Saranya and S. Maheswari, A Method for Solving Fuzzy Transportation Problem (FTP) using Fuzzy Russell's Method, International Journal of Intelligent Systems and Applications, 5(2)(2013), 71-75, ISSN: 2074-904.

K. Ponnivalavan and T. Pathinathan, Intuitionistic Pentagonal Fuzzy Number, ARPN Journal of Engineering and Applied Sciences, $10(12)(2015), 5446-5450$, ISSN $1819-6608$.

K. Pramila and G. Uthra, Optimal Solution of an Intuitionistic Fuzzy Transportation Problem, Annals of Pure and Applied Mathematics, $8(2)(2014), 67-73$, ISSN: 2279 087.

S.K. Singh and S.P. Yadav, A new approach for solving intuitionistic fuzzy transportation problem of type-2, Annals of Operations Research, 220(2014), 1-15.

S.K. Singh and S.P. Yadav, Efficient approach for solving type-1 intuitionistic fuzzy transportation problem, Inter. national Journal of System Assurance Engineering and Management, 6(2014), 259-267.

H.A. Taha, Operations Research: An Introduction. 8th edition, Pearson Education India, 2008.

L.A. Zadeh, Fuzzy sets, Information and Control, $8(1965), 338 cdot 353$.

H.I. Zimmerman, Fuzzy programming and linear programming with several objective functions, Fuzzy Sets and Systems, 1(1978), 45-55.

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Published

01-01-2021

How to Cite

V. Kamal Nasir, and V. P. Beenu. “Unbalanced Transportation Problem With Pentagonal Intuitionsitic Fuzzy Number Solved Using Ambiguity Index”. Malaya Journal of Matematik, vol. 9, no. 01, Jan. 2021, pp. 720-4, https://www.malayajournal.org/index.php/mjm/article/view/1119.

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

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