Linear programming with Triangular Intuitionistic Fuzzy Number

This paper presents an approach based on value and ambiguity indexes defined in [1] to solve linear programming problems with data as triangular intuitionistic fuzzy numbers.

[1]  C. R. Bector,et al.  Fuzzy Mathematical Programming and Fuzzy Matrix Games , 2005 .

[2]  Jin-Shieh Su Fuzzy Programming Based on Interval-Valued Fuzzy Numbers and Ranking , 2007 .

[3]  Saeid Abbasbandy,et al.  Ranking of Fuzzy Numbers, Some Recent and New Formulas , 2009, IFSA/EUSFLAT Conf..

[4]  Jiang-Xia Nan,et al.  A Lexicographic Method for Matrix Games with Payoffs of Triangular Intuitionistic Fuzzy Numbers , 2010, Int. J. Comput. Intell. Syst..

[5]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[6]  Lotfi A. Zadeh,et al.  The Concepts of a Linguistic Variable and its Application to Approximate Reasoning , 1975 .

[7]  LiDeng-Feng,et al.  Linear programming method for multiattribute group decision making using IF sets , 2010 .

[8]  H. M. Nehi A New Ranking Method for Intuitionistic Fuzzy Numbers , 2010 .

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

[10]  Deng-Feng Li,et al.  A ratio ranking method of triangular intuitionistic fuzzy numbers and its application to MADM problems , 2010, Comput. Math. Appl..

[11]  V. Lakshmana Gomathi Nayagam,et al.  Ranking of intuitionistic fuzzy numbers , 2008, 2008 IEEE International Conference on Fuzzy Systems (IEEE World Congress on Computational Intelligence).

[12]  Lotfi A. Zadeh,et al.  The concept of a linguistic variable and its application to approximate reasoning-III , 1975, Inf. Sci..

[13]  M. Amparo Vila,et al.  On a canonical representation of fuzzy numbers , 1998, Fuzzy Sets Syst..

[14]  Deng-Feng Li,et al.  Extension of the LINMAP for multiattribute decision making under Atanassov’s intuitionistic fuzzy environment , 2008, Fuzzy Optim. Decis. Mak..

[15]  Etienne E. Kerre,et al.  Reasonable properties for the ordering of fuzzy quantities (II) , 2001, Fuzzy Sets Syst..

[16]  Hidetomo Ichihashi,et al.  Relationships between modality constrained programming problems and various fuzzy mathematical programming problems , 1992 .

[17]  Przemyslaw Grzegorzewski,et al.  Distances and orderings in a family of intuitionistic fuzzy numbers , 2003, EUSFLAT Conf..

[18]  Hans-Jürgen Zimmermann,et al.  Decision Making in Fuzzy Environment , 1985 .

[19]  Etienne E. Kerre,et al.  On the relationship between some extensions of fuzzy set theory , 2003, Fuzzy Sets Syst..

[20]  Mariano Jiménez,et al.  Ranking fuzzy numbers through the Comparison of its Expected Intervals , 1996, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[21]  Deng-Feng Li,et al.  Multiattribute decision making models and methods using intuitionistic fuzzy sets , 2005, J. Comput. Syst. Sci..

[22]  Hamid Reza Maleki,et al.  RANKING FUNCTIONS AND THEIR APPLICATIONS TO FUZZY LINEAR PROGRAMMING , 2003 .

[23]  Etienne E. Kerre,et al.  Reasonable properties for the ordering of fuzzy quantities (II) , 2001, Fuzzy Sets Syst..

[24]  T. Chu,et al.  Ranking fuzzy numbers with an area between the centroid point and original point , 2002 .

[25]  Xinwang Liu,et al.  Ranking fuzzy numbers with preference weighting function expectations , 2005 .