After the introduction of fuzzy set by Zadeh in 1965 [1], there have been a number of generalizations of this fundamental concept. In 1967, Goguen [2] proposed the concept of L-fuzzy set. The idea of interval valued fuzzy set is given by Zadeh in 1975 [3]. Type 2 fuzzy sets were poposed by Zadeh in [4]. Attanasove introduced intuitionistic fuzzy sets in 1986 [5]. Interval valued intuitionistic ...

In this paper we introduce the concentration and dilation operators on interval valued intuitionistic fuzzy soft sets of root type which is a generalization of fuzzy set, intuitionistic fuzzy set, interval valued intuitionistic fuzzy set and intuitionistic fuzzy set of root type and establish some properties of these operators. We define Hamming distance between two interval valued intuitionist...

a flood warning system is a non-structural measure for flood mitigation. several parameters are responsible for flood related disasters. this work  illustrates an ordered intuitionistic fuzzy analysis that has the capability to simulate the unknown relations between a set of meteorological and hydrological parameters. in this paper, we first define ordered intuitionistic fuzzy soft sets and est...

In This paper, Author Discuss about some operations on Intuitionistic Fuzzy sets (or vague sets) we understand that the most important and potential generalization of Fuzzy sets came in the form of intuitionistic Fuzzy sets developed by Atnassove. It is justified by Bustince and Burillo[2] that intuitionistic fuzzy sets and vague sets are same. So in this paper the two terminologies vague sets ...

In 1966, (Imai and Iseki, 1966) defined a class of algebras of type (2, 0) named BCK-algebras. At the same time, (Iseki, 1966) generalized another class of algebras of type (2, 0) called BCI-algebras. Hu and Li (1983) introduced the concept of BCH-algebras and gave examples of proper BCH-algebras (Hu and Li, 1985). Neggers and Kim (2001) introduced and investigated a class of algebras, viz., th...

In recent years, there have been a growing interest in developing Multi-Criteria Decision Making (MCDM) and Group Decision Making (GDM) using type-2 fuzzy sets and Intuitionistic Fuzzy Sets (IFSs) which provide frameworks to handle the encountered uncertainties in decision making models. Previous research has shown the power of type-2 fuzzy logic systems to handle the linguistic uncertainties. ...

Firstly, two kinds of natural distances between intuitionistic fuzzy sets are generated by the classical natural distance between fuzzy sets under a unified framework of residual intuitionistic implication operators. Secondly, the continuity and approximation property of a method for solving intuitionistic fuzzy reasoning are defined. It is proved that the triple implication method for intuitio...

In this paper the concepts of sectional intuitionistic fuzzy continuous mapping, l -intuitionistic fuzzy compact sets and asymptotic intuitionistic fuzzy normal structure are introduced. Schauder type and Baillon and Schoneberg type fixed point theorems are also established in an intuitionistic fuzzy n -normed linear space.

This paper discusses the properties of multi-fuzzy sets with product order and dictionary order on their membership functions. In particular the relationship between multi-fuzzy sets and other sets such as intuitionistic fuzzy sets, type-2 fuzzy sets, multisets and fuzzy multisets are studied. 2010 AMS Classification: 03E72, 06D72, 08A72

based on the point of view of geometrical representation of an intuitionistic fuzzy set, we take into account all three parameters describing intuitionistic fuzzy set, propose a kind of new method to calculate correlation and correlation coefficient of intuitionistic fuzzy sets which is similar to the cosine of the intersectional angle in finite sets and probability space, respectively. further...