Computation the Optimal Solution of Octagonal Fuzzy Numbers
DOI:
https://doi.org/10.29304/jqcm.2020.12.4.727Keywords:
Octagonal fuzzy number (OFN), Ranking of octagonal fuzzy numbers (ROFN), Fractional Programming Problem (FPP)Abstract
In this work, we suggested a novel algorithm to computation the optimal Solution for the fuzzy octagonal fractional programming problems (FOFPP) were transformed to crisp value (CV), through the ranking function (RF), and then solved a crisp value by graphical method. Finally, numerical examples are presented to display the efficacy of the computational procedure.
Downloads
Download data is not yet available.
References
[1] Ammar E E , Khalifa H A., Solving Fully Fuzzy multi-objective Linear Fractional Programming Problems Based on Fuzzy Programming Approach, The Journal of Fuzzy Mathematics, Vol. 27, No. 2, pp: 301-312, (2019).
[2] Annie Christi M S, Malini. D., An Approach to Solve Transportation Problems with Octagonal Fuzzy Numbers Using Best Candidates Method and Different Ranking Techniques , International Journal of Computer Application, Vol. 6 , No. 1, pp: 71-85, (2016).
[3] Arumica A, Kennedy F., ROLE OF OCTAGONAL FUZZY NUMBERS IN THREE STAGE FLOW SHOP SCHEDULING PROBLEM WITH SETUP TIME AND TRANSPORTATION TIME, International J. of Math. Sci. & Engg. Appls, Vol. 11, pp: 181-192, (2017).
[4] Bharati S K ., Ranking Method of Intuitionistic Fuzzy Numbers, Global Journal of Pure and Applied Mathematics, Vol. 13 ,No. 9, pp. 4595-4608 ,(2017).
[5] Das S K, Edalatpanah S A, Mandal T., A new method for solving fuzzy linear fractional programs with Triangular Fuzzy numbers, International Journal of Mathematical Engineering and Science, Vol. 4, pp:1-7, (2015).
[6] Dhanalakshmi V, Kennedy F., Ranking Algorithm for Symmetric Octagonal
Fuzzy Numbers, J. Comp.& Math Sci., Vol. 5, No. 3, pp.310-318, (2014).
[7] Dhurai K, Karpagam A., New Ranking Function on Octagonal Fuzzy Number for Solving Fuzzy Transportation Problem , International Journal of Pure and Applied Mathematics, Vol. 119, No. 9, pp:125-131, (2018).
[8] Gajalakshm S, Parvath P., Solving an EQQ Model in an Inventory Problem by Using Octagonal Fuzzy Numbers, International Journal of Mathematics and Computer Applications Research, Vol. 4, pp: 37-44, (2014).
[9] JOSHI V, SINGH E, GUPTA N., Primal-Dual Approach to Solve Linear Fractional Programming Problem, Journal of the Applied Mathematics, Statistics and Informatics, Vol. 4 , No. 1, pp: 61-69, (2008).
[10] Kumar A , Bansal A., A new method to solve fully fuzzy linear system with trapezoidal fuzzy numbers, Canadian Journal on Science and Engineering Mathematics, Vol. 1, No. 3, pp:45-56, (2010).
[11] Kumar S, Mandal T., A new model for solving fuzzy linear fractional programming problem with ranking function, Journal of Applied Research on Industrial Engineering, Vol. 4, No. 2, pp: 89–96, (2017).
[12] Malini P, Ananthanarayanan M., SOLVING FUZZY TRANSPORTATION PROBLEM USING RANKING OF OCTAGONAL FUZZY NUMBERS, International Journal of Pure and Applied Mathematics, Vol. 110, No. 2, pp: 275-282, (2016).
[13] Malini S U, Kennedy F., An Approach for Solving Fuzzy Transportation
Problem Using Octagonal Fuzzy Numbers, Applied Mathematical Sciences, Vol. 7, No. 54, pp: 2661 – 2673, (2013).
[14] Menaka G., Ranking of Octagonal Intuitionistic Fuzzy Numbers, IOSR Journal of Mathematics, Vol. 13, pp: 63-71, (2017).
[15] Menon S., Solving Fuzzy Maximal Flow Problem Using Octagonal Fuzzy
Number, Int. Journal of Engineering Research and Applications, Vol. 6, pp: 66-74, (2016).
[16] Mitlif R J., A New Method for Solving Fully Fuzzy Multi- Objective Linear Programming Problems, Iraqi Journal of Science, Vol. 57, pp:2307-2311, (2016).
[17] Mitlif R J., Development Lagrange Method for Solving Linear Fractional Programming Problems with Intervals Coefficients in the Objective Function, Al-Mustansiriyah Journal of Science, Vol. 27 , pp:88-90, (2016).
[18] Mitlif R J., Solving fuzzy fractional linear programming problems by ranking function methods, JOURNAL OF COLLEGE OF EDUCATION, Vol. 1, pp: 93-108, (2016).
[19] Mitlif R J., A New Ranking Function of Triangular Fuzzy Numbers for Solving
Fuzzy Linear Programming Problems with Big -M Method, Electronics Science Technology and Application, Vol. 6, pp: 10-13, (2019).
[20] Mohideen S I, Devi K P, Durga M D., FUZZY TRANSPORTATION PROBLEM OF OCTAGON FUZZY NUMBERS WITH α -CUT AND RANKING TECHNIQUE, Journal of Computer, Vol. 1, pp: 60-67, (2016).
[21] Nachammai A, Thangaraj P., Solving Fuzzy Linear Fractional Programming Problem Using Metric Distance Ranking, Applied Mathematical Sciences, Vol. 6, No. 26, pp: 1275 – 1285, (2012).
[22] Nasseri S H, Bavandi S., Fuzzy Stochastic Linear Fractional Programming based on Fuzzy Mathematical Programming, Fuzzy Information and Engineering, pp:1-15, (2019).
[23] Pramy F A., An Approach for Solving Fuzzy Multi-Objective Linear Fractional
Programming Problems, International Journal of Mathematical, Engineering and Management Sciences, Vol. 3, No. 3, pp: 280–293, (2018).
[24] Rajendran C, Ananthanarayanan M., Fuzzy Critical Path Method Using Octagonal Fuzzy Numbers, International Journal of Scientific Engineering and Research, Vol. 5, pp: 15-18, (2017).
[25] Raju V, Jayagopal R., A Rudimentary Operations on Octagonal Fuzzy Numbers, International Journal of Research in Advent Technology, Vol. 6, No. 6, pp: 1320-1323,(2018).
[26] Safaei N., A new method for solving fully fuzzy linear fractional programming with a triangular fuzzy number, App. Math. and Comp. Intel, Vol. ), No. 1, pp: 273–281, (2014).
[27] Senthil R, Gnanaprakash K, Solving Fuzzy Game of order 3 x 3 using Octagonal Fuzzy Numbers, International Journal of Innovative Science, Engineering & Technology, Vol. 3, pp: 43-53,(2016) .
[28] Wutsqa D U, Insani N., The Trapezoidal Fuzzy Number Linear Programming, Journal of Innovative Technology and Education, Vol. 3 ,No. 1, pp: 123-130, (2016).
[2] Annie Christi M S, Malini. D., An Approach to Solve Transportation Problems with Octagonal Fuzzy Numbers Using Best Candidates Method and Different Ranking Techniques , International Journal of Computer Application, Vol. 6 , No. 1, pp: 71-85, (2016).
[3] Arumica A, Kennedy F., ROLE OF OCTAGONAL FUZZY NUMBERS IN THREE STAGE FLOW SHOP SCHEDULING PROBLEM WITH SETUP TIME AND TRANSPORTATION TIME, International J. of Math. Sci. & Engg. Appls, Vol. 11, pp: 181-192, (2017).
[4] Bharati S K ., Ranking Method of Intuitionistic Fuzzy Numbers, Global Journal of Pure and Applied Mathematics, Vol. 13 ,No. 9, pp. 4595-4608 ,(2017).
[5] Das S K, Edalatpanah S A, Mandal T., A new method for solving fuzzy linear fractional programs with Triangular Fuzzy numbers, International Journal of Mathematical Engineering and Science, Vol. 4, pp:1-7, (2015).
[6] Dhanalakshmi V, Kennedy F., Ranking Algorithm for Symmetric Octagonal
Fuzzy Numbers, J. Comp.& Math Sci., Vol. 5, No. 3, pp.310-318, (2014).
[7] Dhurai K, Karpagam A., New Ranking Function on Octagonal Fuzzy Number for Solving Fuzzy Transportation Problem , International Journal of Pure and Applied Mathematics, Vol. 119, No. 9, pp:125-131, (2018).
[8] Gajalakshm S, Parvath P., Solving an EQQ Model in an Inventory Problem by Using Octagonal Fuzzy Numbers, International Journal of Mathematics and Computer Applications Research, Vol. 4, pp: 37-44, (2014).
[9] JOSHI V, SINGH E, GUPTA N., Primal-Dual Approach to Solve Linear Fractional Programming Problem, Journal of the Applied Mathematics, Statistics and Informatics, Vol. 4 , No. 1, pp: 61-69, (2008).
[10] Kumar A , Bansal A., A new method to solve fully fuzzy linear system with trapezoidal fuzzy numbers, Canadian Journal on Science and Engineering Mathematics, Vol. 1, No. 3, pp:45-56, (2010).
[11] Kumar S, Mandal T., A new model for solving fuzzy linear fractional programming problem with ranking function, Journal of Applied Research on Industrial Engineering, Vol. 4, No. 2, pp: 89–96, (2017).
[12] Malini P, Ananthanarayanan M., SOLVING FUZZY TRANSPORTATION PROBLEM USING RANKING OF OCTAGONAL FUZZY NUMBERS, International Journal of Pure and Applied Mathematics, Vol. 110, No. 2, pp: 275-282, (2016).
[13] Malini S U, Kennedy F., An Approach for Solving Fuzzy Transportation
Problem Using Octagonal Fuzzy Numbers, Applied Mathematical Sciences, Vol. 7, No. 54, pp: 2661 – 2673, (2013).
[14] Menaka G., Ranking of Octagonal Intuitionistic Fuzzy Numbers, IOSR Journal of Mathematics, Vol. 13, pp: 63-71, (2017).
[15] Menon S., Solving Fuzzy Maximal Flow Problem Using Octagonal Fuzzy
Number, Int. Journal of Engineering Research and Applications, Vol. 6, pp: 66-74, (2016).
[16] Mitlif R J., A New Method for Solving Fully Fuzzy Multi- Objective Linear Programming Problems, Iraqi Journal of Science, Vol. 57, pp:2307-2311, (2016).
[17] Mitlif R J., Development Lagrange Method for Solving Linear Fractional Programming Problems with Intervals Coefficients in the Objective Function, Al-Mustansiriyah Journal of Science, Vol. 27 , pp:88-90, (2016).
[18] Mitlif R J., Solving fuzzy fractional linear programming problems by ranking function methods, JOURNAL OF COLLEGE OF EDUCATION, Vol. 1, pp: 93-108, (2016).
[19] Mitlif R J., A New Ranking Function of Triangular Fuzzy Numbers for Solving
Fuzzy Linear Programming Problems with Big -M Method, Electronics Science Technology and Application, Vol. 6, pp: 10-13, (2019).
[20] Mohideen S I, Devi K P, Durga M D., FUZZY TRANSPORTATION PROBLEM OF OCTAGON FUZZY NUMBERS WITH α -CUT AND RANKING TECHNIQUE, Journal of Computer, Vol. 1, pp: 60-67, (2016).
[21] Nachammai A, Thangaraj P., Solving Fuzzy Linear Fractional Programming Problem Using Metric Distance Ranking, Applied Mathematical Sciences, Vol. 6, No. 26, pp: 1275 – 1285, (2012).
[22] Nasseri S H, Bavandi S., Fuzzy Stochastic Linear Fractional Programming based on Fuzzy Mathematical Programming, Fuzzy Information and Engineering, pp:1-15, (2019).
[23] Pramy F A., An Approach for Solving Fuzzy Multi-Objective Linear Fractional
Programming Problems, International Journal of Mathematical, Engineering and Management Sciences, Vol. 3, No. 3, pp: 280–293, (2018).
[24] Rajendran C, Ananthanarayanan M., Fuzzy Critical Path Method Using Octagonal Fuzzy Numbers, International Journal of Scientific Engineering and Research, Vol. 5, pp: 15-18, (2017).
[25] Raju V, Jayagopal R., A Rudimentary Operations on Octagonal Fuzzy Numbers, International Journal of Research in Advent Technology, Vol. 6, No. 6, pp: 1320-1323,(2018).
[26] Safaei N., A new method for solving fully fuzzy linear fractional programming with a triangular fuzzy number, App. Math. and Comp. Intel, Vol. ), No. 1, pp: 273–281, (2014).
[27] Senthil R, Gnanaprakash K, Solving Fuzzy Game of order 3 x 3 using Octagonal Fuzzy Numbers, International Journal of Innovative Science, Engineering & Technology, Vol. 3, pp: 43-53,(2016) .
[28] Wutsqa D U, Insani N., The Trapezoidal Fuzzy Number Linear Programming, Journal of Innovative Technology and Education, Vol. 3 ,No. 1, pp: 123-130, (2016).
Downloads
Published
2021-01-08
How to Cite
Mitlif, R. J. (2021). Computation the Optimal Solution of Octagonal Fuzzy Numbers. Journal of Al-Qadisiyah for Computer Science and Mathematics, 12(4), Math Page 71– 78. https://doi.org/10.29304/jqcm.2020.12.4.727
Issue
Section
Math Articles
