نتایج جستجو برای: Fuzzy Multisets

تعداد نتایج: 90381  

Á. Riesgo I. Díaz P. Alonso S. Montes

Since its original formulation, the theory of fuzzy sets has spawned a number of extensions where the role of membership values in the real unit interval $[0, 1]$ is handed over to more complex mathematical entities. Amongst the many existing extensions, two similar ones, the fuzzy multisets and the hesitant fuzzy sets, rely on collections of several distinct values to represent fuzzy membershi...

2015
Sadaaki Miyamoto

Multisets alias bags are similar to fuzzy sets but essentially different in basic concepts and operations. We overview multisets together with basics of fuzzy sets in order to observe differences between the two. We then introduce fuzzy multisets and the combination of the both concepts. There is another concept of real-valued multisets as a generalization of multisets. Rough approximations of ...

2004
Sadaaki Miyamoto

Multisets are now a common tool and a fundamental framework in information processing. Their generalization to fuzzy multisets has also been studied. In this paper the basics of multisets and fuzzy multisets are reviewed, fundamental properties of fuzzy multisets are proved, and advanced operations are defined. Applications to rough sets, fuzzy data retrieval, and automatic classification are m...

2000
Sadaaki Miyamoto

Fuzzymultisets with infinitemembership sequences and their generalization using set-valued memberships are considered. Two metric spaces of the infinite fuzzy multisets are defined in terms of cardinality. One is the completion of fuzzy multisets of finite membership sequences; the other is derived from operations among fuzzy multisets and realvalued multisets. Theoretical properties of these i...

2011
Yasuo Narukawa Klara Stokes Vicenç Torra

Fuzzy measures on multisets are studied. We show that a class of multisets can be represented as a subset of positive integers. Comonotonicity for multisets are defined. We show that a fuzzy measure on multisets with some comonotonicity condition can be represented by generalized fuzzy integral.

Journal: :IJFSA 2017
Jaya Paul Sunil Jacob John

Many problems arise in practical applications when data is extracted from a group of experts, all of whom do not collectively agree. The theory of Type 2 Fuzzy Multisets is capable of modelling these types of uncertainties in decision making. The purpose of this paper is to introduce the study of various algebraic structures of Type 2 Fuzzy Multisets. As a beginning of this study, the concept o...

Journal: :Int. J. Intell. Syst. 2009
Jaume Casasnovas Francesc Rosselló

We define in an axiomatic way scalar and fuzzy cardinalities of finite multisetsover ]0, 1], and we obtain explicit descriptions for them. We show that, for multisetsover ]0, 1] associated to finite fuzzy sets, the cardinalities defined in this paper areequivalent to the cardinalities of the corresponding fuzzy sets previously introducedin the literature. Finally, we also de...

2015
Sabu Sebastian Robert John

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

2010
Jaume Casasnovas J. Vicente Riera

In this paper we propose the extension of some aggregation or arithmetic operations between discrete fuzzy numbers to discrete fuzzy number-valued multisets such as the addition, the union and the intersection and, even, the order. For this reason, we prove or recall some properties of discrete fuzzy numbers and we undertake their study on multisets.

Journal: :Journal of the Egyptian Mathematical Society 2017

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