A Direct Model for Triangular Neutrosophic Linear Programming

This paper aims to propose a new direct algorithm to solve the neutrosophic linear programming where the variables and right-hand side represented with triangular neutrosophic numbers. The effectiveness of the proposed procedure is illustrated through numerical experiments. The extracted results show that the new algorithm is straightforward and could be useful to guide the modeling and design of a wide range of neutrosophic optimization.

[1]  Robert LIN,et al.  NOTE ON FUZZY SETS , 2014 .

[2]  Florentin Smarandache,et al.  Neutrosophic Goal Programming , 2017 .

[3]  T. Allahviranloo,et al.  SOLVING FULLY FUZZY LINEAR PROGRAMMING PROBLEM BY THE RANKING FUNCTION , 2008 .

[4]  Hong-yu Zhang,et al.  Frank prioritized Bonferroni mean operator with single-valued neutrosophic sets and its application in selecting third-party logistics providers , 2016, Neural Computing and Applications.

[5]  S. A. Edalatpanah,et al.  A New Two-Phase Method for the Fuzzy Primal Simplex Algorithm , 2012 .

[6]  Florentin Smarandache,et al.  Energy and Spectrum Analysis of Interval Valued Neutrosophic Graph using MATLAB , 2019 .

[7]  S. A. Edalatpanah,et al.  A nonlinear model for fully fuzzy linear programming with fully unrestricted variables and parameters , 2016 .

[8]  S. A. Edalatpanah,et al.  A Multi Objective Programming Approach to Solve Integer Valued Neutrosophic Shortest Path Problems , 2018 .

[9]  Amit Kumar,et al.  A new method for solving fully fuzzy linear programming problems , 2011 .

[10]  F. Smarandache,et al.  The shortest path problem in interval valued trapezoidal and triangular neutrosophic environment , 2019, Complex & Intelligent Systems.

[11]  Tsuyoshi Murata,et al.  {m , 1934, ACML.

[12]  Milan Vlach,et al.  Fuzzy Mathematical Programming: A Unified Approach Based On Fuzzy Relations , 2002, Fuzzy Optim. Decis. Mak..

[13]  Richard Bellman,et al.  Decision-making in fuzzy environment , 2012 .

[14]  Ali Ebrahimnejad Sensitivity analysis in fuzzy number linear programming problems , 2011, Math. Comput. Model..

[15]  Lourdes Campos,et al.  Linear programming problems and ranking of fuzzy numbers , 1989 .

[16]  James J. Buckley,et al.  Fully Fuzzified Linear Programming I , 2007 .

[17]  Mehdi Dehghan,et al.  Computational methods for solving fully fuzzy linear systems , 2006, Appl. Math. Comput..

[18]  Surapati Pramanik,et al.  Neutrosophic Multi-Objective Linear Programming , 2016 .

[19]  S. S. Appadoo,et al.  A novel method for solving the fully neutrosophic linear programming problems: Suggested modifications , 2019, J. Intell. Fuzzy Syst..

[20]  T. Allahviranloo,et al.  Solving a full fuzzy linear programming using lexicography method and fuzzy approximate solution , 2009 .

[21]  Mohamed Abdel-Basset,et al.  A novel method for solving the fully neutrosophic linear programming problems , 2018, Neural Computing and Applications.

[22]  James J. Buckley,et al.  Monte Carlo methods in fuzzy queuing theory , 2009, Soft Comput..

[23]  Xu Zhang,et al.  Hotel recommendation approach based on the online consumer reviews using interval neutrosophic linguistic numbers , 2018, J. Intell. Fuzzy Syst..

[24]  K. Ganesan,et al.  Fuzzy linear programs with trapezoidal fuzzy numbers , 2006, Ann. Oper. Res..

[25]  S. A. Edalatpanah,et al.  Neutrosophic perspective on DEA , 2018 .

[26]  Nezam Mahdavi-Amiri,et al.  Duality in fuzzy number linear programming by use of a certain linear ranking function , 2006, Appl. Math. Comput..

[27]  S. A. Edalatpanah,et al.  A note on “A new method for solving fully fuzzy linear programming problems” , 2013 .

[28]  S. A. Edalatpanah,et al.  A mathematical model for solving fully fuzzy linear programming problem with trapezoidal fuzzy numbers , 2016, Applied Intelligence.

[29]  F. Smarandache,et al.  Shortest Path Problem Under Interval Valued Neutrosophic Setting , 2018 .

[30]  F. Smarandache,et al.  An Introduction to Bipolar Single Valued Neutrosophic Graph Theory , 2016 .

[31]  Adil Baykasoglu,et al.  An analysis of fully fuzzy linear programming with fuzzy decision variables through logistics network design problem , 2015, Knowl. Based Syst..

[32]  S. A. Edalatpanah,et al.  A proposed model for solving fuzzy linear fractional programming problem: Numerical Point of View , 2017, J. Comput. Sci..

[33]  Hong-yu Zhang,et al.  Probability multi-valued neutrosophic sets and its application in multi-criteria group decision-making problems , 2016, Neural Computing and Applications.

[34]  Florentin Smarandache,et al.  Shortest path problem in fuzzy, intuitionistic fuzzy and neutrosophic environment: an overview , 2019, Complex & Intelligent Systems.

[35]  Weldon A. Lodwick,et al.  Solving Large-Scale Fuzzy and Possibilistic Optimization Problems , 2004, IEEE Annual Meeting of the Fuzzy Information, 2004. Processing NAFIPS '04..

[36]  José L. Verdegay,et al.  Using fuzzy numbers in linear programming , 1997, IEEE Trans. Syst. Man Cybern. Part B.

[37]  Lotfi A. Zadeh,et al.  Outline of a New Approach to the Analysis of Complex Systems and Decision Processes , 1973, IEEE Trans. Syst. Man Cybern..

[38]  L. A. ZADEH,et al.  The concept of a linguistic variable and its application to approximate reasoning - I , 1975, Inf. Sci..

[39]  H. Zimmermann Fuzzy programming and linear programming with several objective functions , 1978 .

[40]  Jaroslav Ramík,et al.  Duality in Fuzzy Linear Programming: Some New Concepts and Results , 2005, Fuzzy Optim. Decis. Mak..

[41]  Ebrahim Nasrabadi,et al.  Fully fuzzified linear programming, solution and duality , 2006, J. Intell. Fuzzy Syst..

[42]  Jun Ye,et al.  Similarity measures between interval neutrosophic sets and their applications in multicriteria decision-making , 2014, J. Intell. Fuzzy Syst..

[43]  Florentin Smarandache,et al.  Data Envelopment Analysis for Simplified Neutrosophic Sets , 2019 .

[44]  Amit Kumar,et al.  Exact fuzzy optimal solution of fully fuzzy linear programming problems with unrestricted fuzzy variables , 2011, Applied Intelligence.