the purpose of this paper is to develop a methodology for solving a new type of matrix games in which payoffs are expressed with triangular intuitionistic fuzzy numbers (tifns). in this methodology, the concept of solutions for matrix games with payoffs of tifns is introduced. a pair of auxiliary intuitionistic fuzzy programming models for players are established to determine optimal strategies...

Fuzzy sets theory affirmed that the linguistic value for every contraries relation is complementary. It was stressed in the intuitionistic fuzzy sets (IFS) that the conditions for contraries relations, which are the fuzzy values, cannot be greater than one. However, complementary in two contradict phenomena are not always true. This paper proposes a new idea condition for conflicting bifuzzy se...

Defuzzification is the process of converting a fuzzy quantity to precise quantity, just as fuzzification is the conversion of a precise quantity to a fuzzy quantity. Various types of defuzzification methods, are available for conversion of fuzzy to non-fuzzy. In this paper, defuzzification functions in intuitionistic fuzzy environment such as triangular, trapezoidal, L-trapezoidal, R-trapezoida...

This article proposes a new ranking method for ordering Triangular Intuitionistic Fuzzy Number (TIFN) based on area of both membership and nonmembership parts of the number. Firstly, the membership part is split into two regions. Then the area between the midpoints of the centroids of the membership part is calculated to order the TIFN. Later on, the same procedure is adopted to calculate the a...

In this study, we introduce the concept of denser property in fuzzy membership function used in neutrosophic sets. We present several new definitions and study their properties. Defuzzification methods over neutrosophic triangular dense xxxx fuzzy sets and neutrosophic triangular intuitionistic dense fuzzy sets are then given. Finally practical applicability of the methods have been discussed w...

In this paper, we introduce intuitionistic fuzzy incline (IFI), intuitionistic fuzzy incline matrix (IFIM) and its determinant. Also the transitive closure, power of convergent, nilpotence of IFIM and adjoint of an IFIM are considered here. Some properties of determinant of IFIM and triangular IFIM are also introduced here. 2010 AMS Classification: 03E72, 15A15, 15B15

The notion of the interval-valued intuitionistic fuzzy set (IVIFS) is a generalization of that of the Atanassov’s intuitionistic fuzzy set. The fundamental characteristic of IVIFS is that the values of its membership function and non-membership function are intervals rather than exact numbers. There are various averaging operators defined for IVIFSs. These operators are not monotone with respec...

9:00 am – 10:30 am János C. Fodor, Bernard De Baets, Tomasa Calvo, Structure of uninorms with given continuous underlying t-norms and t-conorms Glad Deschrijver, Etienne E. Kerre, The residuation principle for intuitionistic fuzzy t-norms 11.00 am – 12:30 am Michal Baczynski, On the characterizations of intuitionistic fuzzy implications Carol L. Walker, Elbert A. Walker, T-norms on fuzzy sets o...

Nan et al. [J.-X. Nan, D.-F. Li and M.-J. Zhang, A lexicographic method for matrix games with payoffs of triangular intuitionistic fuzzy numbers, International Journal of Computational Intelligence Systems 3(3) (2010) 280-289] pointed out that there is no method in the literature to find the solution of such matrix games in which payoffs are represented by triangular intuitionistic fuzzy number...