Certain scholars have generalized the theory of fuzzy set, but picture hesitant set (PHFS) has received massive attention from distinguished scholars. PHFS is combination (PFS) and (HFS) to cope with awkward complicated information in real-life issues. The well-known characteristic that sum maximum membership, abstinence, non-membership degree limited unit interval. This manuscript aims develop...

The aim of this paper is to study monadic L-fuzzy quantifiers of the type 〈1〉 determined by fuzzy measures. These fuzzy quantifiers are defined using a novel notion of ⊗-fuzzy integral. Several semantic properties of these L-fuzzy quantifiers are studied. Keywords— fuzzy integral, fuzzy logic, fuzzy measure, fuzzy quantifier, generalized quantifier

In this article we present three similarity measures between simplified neutrosophic hesitant fuzzy sets, which contain the concept of single valued neutrosophic hesitant fuzzy sets and interval valued neutrosophic hesitant fuzzy sets, based on the extension of Jaccard similarity measure, Dice similarity measure and Cosine similarity in the vector space. Then based on these three defined simila...

Verification of efficiency in data management fuzzy entropy and similarity measure were discussed and verified by applying reliable data selection problem and numerical data similarity evaluation. In order to calculate the certainty or uncertainty fuzzy entropy and similarity measure are designed and proved. Designed fuzzy entropy and similarity are considered as dissimilarity measure and simil...

The concept of entropy of a discrete fuzzy measure has been recently introduced in two different ways. A first definition was proposed by Marichal [10] in the aggregation framework, and a second one by Yager [25] in the framework of uncertain variables. We present a comparative study between these two proposals and point out their properties. We also propose a definition for the entropy of an o...

The approach of continuous evaluation is an important methodology in educational learning process. However, only recently it was applied in training based on virtual reality. This paper presents a methodology of evaluation that uses a fuzzy continuous evaluation approach to provide a user profile from his several training. This information can be used to improve the user performance in the real...

Let F*(K) be the set of all fuzzy complex numbers. In this paper some classical and measure-theoretical notions are extended to the case of complex fuzzy sets. They are fuzzy complex number-valued distance on F*(K), fuzzy complex number-valued measure on F*(K), and some related notions, such as null-additivity, pseudo-null-additivity, null-subtraction, pseudo-null-subtraction, autocontionuous f...

This chapter deals with the construction of distance and similarity measures by utilizing the theoretical advantages of the fuzzy implications. To this end the basic definitions of fuzzy implications are initially discussed and the conditions of typical distance and similarity measures that need to be satisfied are defined next. On the basis of this theory a straightforward methodology for buil...

In this paper the concept of fuzzy descriptor as a level-two fuzzy set to represent some visual features is proposed. In particular, a fuzzy descriptor based on the dominance of color and texture features is defined and applied to image retrieval. For this purpose, the color and texture are modelled using fuzzy sets, taking into account the imprecision related to these visual features. In addit...

This paper presents a Fuzzy logic based Design for Six Sigma (FLBDFSS) incorporating the traits of artificial intelligence and statistical techniques. In the identify phase of FLBDFSS, fuzzy relation measures between Customer Attributes and Engineering Characteristics as well as fuzzy correlation measures among ECs are determined with the aid of two Fuzzy Logic Controllers. These two measures a...