113 research outputs found
True-False Set is a particular case of the Refined Neutrosophic Set
Borzooei, Mohseni Takallo, and Jun recently proposed a new type of set, called True-False Set [1], and they claimed it is a generalization of Neutrosophic Set [2]. We prove that this assertion is untrue. Actually it’s the opposite, the True-False Set is a particular case of the Refined Neutrosophic Set
Interval type‑2 fuzzy aggregation operator in decision making and its application
Type-2 fuzzy sets (T2FSs) can deal with higher modeling and uncertainties which exist in the real-world application, specifically
in the control systems. Particularly the climate changes are always uncertain and thus, the type-2 fuzzy controller is an
effective system to handle those situations. Polyhouse is a methodology used to cultivate the plants. It breaks the seasonal
hurdle of the formulation and it is also suitable for the conflictive climate conditions. Controlling and directing internal
parameters of the polyhouse play an essential role in the growth of the plant. Among those, humidity is an important element
when one deals with the growth of the plant in polyhouse. It affects the weather, as well as the global change of the climate
and hence, the inner climate of the polyhouse will be disturbed. In this paper, operational laws for triangular interval type-2
fuzzy numbers and derived triangular interval type-2 weighted geometric (TIT2WG) operator with their desired mathematical
properties using Dombi triangular norms. Also, humidity control is analyzed using interval type-2 fuzzy controller (IT2FC)
with the use of derived aggregation operator which is the aim of the paper. Further stability of the system has been analyzed
by applying four different defuzzification methods and the method is recommended which gives a better response
Cosine Similarity Measure of Interval Valued Neutrosophic Sets
In this paper, we define a new cosine similarity between two interval valued neutrosophic sets based on Bhattacharya’s distance [19]. The notions of interval valued neutrosophic sets (IVNS, for short) will be used as vector representations in 3D-vector space. Based on
the comparative analysis of the existing similarity measures for IVNS, we find that our proposed similarity measure is better and more robust. An illustrative example of the pattern recognition shows that the proposed method is simple and effective
On Neutrosophic Implications
In this paper, we firstly review the neutrosophic set, and then construct two new concepts called neutrosophic implication of type 1 and of type 2 for neutrosophic sets. Furthermore, some of their basic properties and some results associated with the two neutrosophic implications are proven
On Fuzzy Soft Matrix Based on Reference Function
In this paper we study fuzzy soft matrix based on reference function. Firstly, we define some new operations such as fuzzy soft complement matrix and trace of fuzzy soft matrix based on reference function. Then, we introduced some related properties, and some examples are given. Lastly, we define a new fuzzy soft matrix decision method based on reference function
- …