By adding the component of knowledge, we generalize the definition of fuzzy set based on probability theory. Some basic operations are re-defined. In addition, by using a fuzzy conditional probability relation, granularity of knowledge is given in two frameworks, crisp granularity and fuzzy ...
SETSCharacterizes the well known set-representation of fuzzy sets (Négotia-Ralescu), as a P(X)-valued Boolean, Dedekind cut, and at the same time generalizes it to general Boolean algebras. Uses the theory of Boolean powers and Boolean-valued Dedekind cuts....
fuzzy set in this paper.Using representation of fuzzy structured element,we had fuzzy number intuitionistic fuzzy set operations' simple form of representation of fuzzy structured element.At the same time,corresponding operations property of the fuzzy number intuitionistic fuzzy set was given and proved...
Domains with fuzzy boundaries are considered. The first part deals with intervals of the real line bounded by two fuzzy numbers. The definitions of a closed interval and of an open interval are extended to fuzzy bounds. The closed interval corresponds to the fuzzy set of numbers possibly between...
00 国际基础科学大会-Critical phenomena from perspective of fuzzy sphere regularization 45:25 国际基础科学大会-From the Sachdev-Ye-Kitaev model to a universal theory of strange 1:09:30 国际基础科学大会-Dynamical degrees-Serge Cantat 52:21 国际基础科学大会-Measure Rigidity beyond Homogeneous Dynamics-...
00 国际基础科学大会-Critical phenomena from perspective of fuzzy sphere regularization 45:25 国际基础科学大会-From the Sachdev-Ye-Kitaev model to a universal theory of strange 1:09:30 国际基础科学大会-Dynamical degrees-Serge Cantat 52:21 国际基础科学大会-Measure Rigidity beyond Homogeneous Dynamics-...
摘要: In this paper, we propose the notion of complex intuitionistic fuzzy sets defined by complex-valued membership and non-membership functions in order to make extension the result presented in [6]. We first give a Cartesian representation, and then we discuss the polar representation....
Summary: In this paper, we consider two probability representations of fuzzy measures on a finite set: the Campos-Bolanos representation (CBR) [{\\\it L. ... G Sirbiladze,N Zaporozhets - 《J Fuzzy Math》 被引量: 31发表: 2003年 Belief, plausibility, and probability measures on interval...
We shall also discuss some properties of set-valued Ito integral, especially the presentation theorem of set-valued Ito integral. Finally, we extend some of above results to the fuzzy set-valued case. 展开 关键词: set-valued stochastic process set-valued ito integral set-valued martingale ...
Probabilistic hesitant fuzzy set (PHFS) is a fruitful concept that adds to hesitant fuzzy set (HFS) the term of probabilitywhich is able to retain more information than the usual HFS. Here, we demonstrate that the existing defi nitionsof... B Farhadinia,E Herrera-Viedma - 《Iranian Journal...