Fuzzy Measures Defined by Fuzzy Integral and their Absolute Continuity
نویسندگان
چکیده
منابع مشابه
SOME SIMILARITY MEASURES FOR PICTURE FUZZY SETS AND THEIR APPLICATIONS
In this work, we shall present some novel process to measure the similarity between picture fuzzy sets. Firstly, we adopt the concept of intuitionistic fuzzy sets, interval-valued intuitionistic fuzzy sets and picture fuzzy sets. Secondly, we develop some similarity measures between picture fuzzy sets, such as, cosine similarity measure, weighted cosine similarity measure, set-theoretic similar...
متن کاملComplex Fuzzy Set-Valued Complex Fuzzy Measures and Their Properties
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...
متن کاملFuzzy $bigwedge_{e}$ Sets and Continuity in Fuzzy Topological spaces
We introduce a new class of fuzzy open sets called fuzzy $bigwedge_e$ sets which includes the class of fuzzy $e$-open sets. We also define a weaker form of fuzzy $bigwedge_e$ sets termed as fuzzy locally $bigwedge_e$ sets. By means of these new sets, we present the notions of fuzzy $bigwedge_e$ continuity and fuzzy locally $bigwedge_e$ continuity which are weaker than fuzzy $e$-continuity and f...
متن کاملFuzzy Number Fuzzy Measures and Fuzzy Integrals
By using the concepts of fuzzy number fuzzy measures and fuzzy valued functions a theory of fuzzy integrals is investigated. In this paper we have established the fuzzy version of Generalised monotone Convergence theorem and generalised Fatous lemma. 1. Introduction In the preceding paper [2], it is introduced that a concept of fuzzy number fuzzy measures, defined the fuzzy integral of a functi...
متن کاملSeparation of Different Textures in Images using Fuzzy Measures and Fuzzy Functions and their Fusion by Fuzzy Integrals
This paper shows the detection of textures by analysing the image by stochastic properties. Different parts of the composed stochastic properties are fused by a decision directed method. The stochastic is mapped on a fuzzy measure and a fuzzy function. The fusion of the so represented stochastic information is achieved by the fuzzy integral. The result of the fuzzy integral is used for a new fu...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1996
ISSN: 0022-247X
DOI: 10.1006/jmaa.1996.0372