This paper presents a fuzzy optimization method based on the inclusion degrees of intuitionistic fuzzy sets to solve multi-criteria decision making problems under fuzzy environments. First, the inclusion degree of intuitionistic fuzzy sets is defined and a series of specific formulas of inclusion degree are presented by means of the normal implication operators. Some formulas of inclusion degre...

Cosine and cotangent similarity measurements are critical in applications for determining degrees of difference between objects. In the literature, numerous measures various extensions fuzzy set, soft Intuitionistic Fuzzy Sets (IFSs), Pythagorean (PFSs) HyperSoft (HSSs) have been explored. Neutrosophic (NHSSs), on other hand, has fewer cosine measures. this paper, we propose trigonometric NHSSs...

In the fuzzy set theory, information  measures play a paramount role in several areas such as decision making, pattern recognition etc. In this paper, similarity measure based on cosine function and entropy measures based on logarithmic function for IFSs are proposed. Comparisons of proposed similarity and entropy measures with the existing ones are listed. Numerical results limpidly betoken th...

Interval Type-2 Fuzzy TOPSIS (IT2FTOPSIS) is a useful way to handle Fuzzy Multiple Attribute DecisionMaking (FMADM) problems in a more flexible and intelligent manner. It is very useful due to the fact that it uses Type-2 Fuzzy Sets (T2FSs) rather than Type-1 Fuzzy Sets (T1FSs) to represent the evaluating values and the weights of attributes. Besides, all the linguistic terms are pointed in Typ...

Similarity measures of intuitionistic fuzzy sets are used to indicate the similarity degree between intuitionistic fuzzy sets. Although several similarity measures for intuitionistic fuzzy sets have been proposed in previous studies, no one has considered the use of the Sugeno integral to define them. Since the Sugeno integral provides an expected-value-like operation, it can be a useful tool i...

in this paper, we present an application of intuitionistic fuzzyprogramming to a two person bi-matrix game (pair of payoffs matrices) for thesolution with mixed strategies using linear membership and non-membershipfunctions. we also introduce the intuitionistic fuzzy(if) goal for a choiceof a strategy in a payoff matrix in order to incorporate ambiguity of humanjudgements; a player wants to max...

An intuitionistic fuzzy set (IFS), an extended version of a fuzzy set, is more applicable for representing vague information since it provides a way to control a degree of hesitation. One of most prominent research directions on the theory of IFSs is measurement of similarity between IFSs. Even several similarity measures have been proposed, some unreasonable cases can be made by such measures....

The relationship between the intuitionistic fuzzy sets and the algebraic hyperstructures is described in this paper. The concept of the quasi-coincidence of an intuitionistic fuzzy interval valued with an interval-valued intuitionistic fuzzy set is introduced and this is a natural generalization of the quasi-coincidence of an intuitionistic fuzzy point in intuitionistic fuzzy sets. By using thi...

In this paper, we consider the intuitionistic fuzzy sets in a -semigroup and the corresponding sets of intuitionistic fuzzy points. We analyze some relations between the intuitionistic fuzzy -ideals and the sets of intuitionistic fuzzy points of these -ideals of a -semigroup S.