نتایج جستجو برای: l valued relation

تعداد نتایج: 932847  

2016
M. Naga Maruthi Kumari R. Chandrasekhar

Abstract: The present paper is focusing on the order, size and degree of the nodes of the interval-valued fuzzy graphs, which are isomorphic. Isomorphism between Interval-valued fuzzy graphs is proved to be an equivalence relation, whereas the Weak isomorphism is proved to be a partial order. Few properties of interval valued fuzzy graphs, which are self complementary, are discussed.

Journal: :JSW 2013
Chunzhen Zhong

A new dominance relation is defined in set-valued information system based on similarity grade of attribute value sets the problem of attribute reduction and the judgment in set-valued information system are studied, from which a new approach to attribute reductions is provided in set-valued information system, and the influence of similarity level on attribute reduction are discussed..

Journal: :iranian journal of fuzzy systems 0
dechao li school of mathematics, physics and information science, zhejiang ocean university, zhoushan, zhejiang, 316022, china and key laboratory of oceanographic big data mining and application of zhejiang province, zhoushan, zhejiang, 316022, china yongjian xie college of mathematics and information science, shaanxi normal university, xi'an, 710062, china

it is firstly proved that the multi-input-single-output (miso) fuzzy systems based on interval-valued $r$- and $s$-implications can approximate any continuous function defined on a compact set to arbitrary accuracy.  a formula to compute the lower upper bounds on the number  of interval-valued fuzzy sets needed to achieve a pre-specified approximation  accuracy for an arbitrary multivariate con...

2009
Chen Zichun

Set-valued information systems are generalized single-valued information systems. In this paper, by introducing a type of dominance relation to set-valued ordered information systems, we establish dominance-based rough set approach and propose a ranking approach for all objects based on the dominance classes. Furthermore, we discuss dominance rules, propose attribute reductions of consistent se...

Based on a complete Heyting algebra, we modify the definition oflattice-valued fuzzifying convergence space using fuzzy inclusionorder and construct in this way a Cartesian-closed category, calledthe category of $L-$ordered fuzzifying convergence spaces, in whichthe category of $L-$fuzzifying topological spaces can be embedded.In addition, two new categories are introduced, which are called the...

Journal: :Int. J. Computational Intelligence Systems 2008
Jungang Li Shoumei Li

In this paper, we shall firstly illustrate why we should introduce set-valued stochastic integrals, and then we shall discuss some properties of set-valued stochastic processes and the relation between a set-valued stochastic process and its selection set. After recalling the Aumann type definition of stochastic integral, we shall introduce a new definition of Lebesgue integral of a set-valued ...

Journal: :Fuzzy Sets and Systems 2006
Yongming Li

Some uniform categorical theoretical treatment of automata and lattice-valued fuzzy automata using quantale theory is studied in this paper. First, L-relational sheaves on a monoidM andQ-enriched categories are introduced for quantales L andQ, the equivalence of the corresponding categories are proved next. Then lattice-valued (fuzzy) automata are described by Q-enriched categories. In fact, la...

Journal: :Expert Systems 2014
Bingzhen Sun Weimin Ma Zengtai Gong

This paper proposes a new generalization of classical real-valued information systems, that is, interval-valued information systems. By defining an interval-valued dominance relation on a condition attribute, a rough set model and attribute reduction are established over interval-valued information systems. Moreover, several interesting properties are investigated by constructive approach. Furt...

Journal: :bulletin of the iranian mathematical society 0
m. fakhar department of mathematics‎, ‎university of isfahan‎, ‎isfahan 81745--163‎, ‎iran‎, ‎and‎, ‎school of mathematics‎, ‎institute for research in fundamental sciences (ipm)‎, ‎p.o‎. ‎box: ‎19395--5746‎, ‎tehran‎, ‎iran. m. r. koushesh department of mathematical sciences‎, ‎isfahan university of technology‎, ‎isfahan 84156--83111‎, ‎iran‎, ‎and‎, ‎school of mathematics‎, ‎institute for research in fundamental sciences (ipm)‎, ‎p.o‎. ‎box‎: ‎19395--5746‎, ‎tehran‎, ‎iran. m. raoofi department of mathematical sciences‎, ‎isfahan university of technology‎, ‎isfahan 84156--83111‎, ‎iran.

‎it is well known that every (real or complex) normed linear space $l$ is isometrically embeddable into $c(x)$ for some compact hausdorff space $x$‎. ‎here $x$ is the closed unit ball of $l^*$ (the set of all continuous scalar-valued linear mappings on $l$) endowed with the weak$^*$ topology‎, ‎which is compact by the banach--alaoglu theorem‎. ‎we prove that the compact hausdorff space $x$ can ...

1992
U. Nanni S. Salza M. A. Roth H. F. Korth

The relational model with relation-valued attributes.

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