نتایج جستجو برای: rough ideal

تعداد نتایج: 111979  

Journal: :Advances in Mathematics of Communications 2021

Journal: :Journal of Zhejiang University. Science 2004
Jian-Hua Dai Wei-Dong Chen Yun-He Pan

Rough set axiomatization is one aspect of rough set study to characterize rough set theory using dependable and minimal axiom groups. Thus, rough set theory can be studied by logic and axiom system methods. The classic rough set theory is based on equivalent relation, but rough set theory based on reflexive and transitive relation (called quasi-ordering) has wide applications in the real world....

2009
Manish Sarkar

This paper generalizes the concepts of rough membership functions in pattern classification tasks to fuzz rough membership functions. Unlike the rough membersgp value of a pattern, which is sensitive only towards the rough uncertainty associated with the pattern, the fuzzy-rough membership value of the pattern signlfies the rou h uncertainty as well as the . fuzz uncertainty associated wig it. ...

Journal: :J. Inf. Sci. Eng. 2005
Hsuan-Shih Lee

This paper presents a new fuzziness measure for rough sets. Fuzziness measures for rough sets may be employed to describe the inconsistency of a decision table. The definition of the fuzziness of a rough set proposed by Chakrabarty et al. has two drawbacks. The first is that the fuzziness of a rough set may not be unique. The second is that the fuzziness of a rough set with a large boundary may...

2004
Zhan-ao Xue Hua-cano He Ying-cang Ma

Due to the shortage of rough impHcation in [4] ~ [6], rough set and rough implication operators are redefined by using interval structure in [7], the shortages have been e improved. We have investigated the characteristics of the rough implication, and also point out that the good logic property of the rough implication in [7]. In this paper, we will study the algebraic properties of the rough ...

2012
Zhaohao Wang Lan Shu

In this paper, we generalize some propositions in [C.Z. Wang, D.G. Chen, A short note on some properties of rough groups, Comput. Math. Appl. 59(2010)431-436.] and we give some equivalent conditions for rough subgroups. The notion of minimal upper rough subgroups is introduced and a equivalent characterization is given, which implies the rough version of Lagrange′s Theorem. Keywords—Lower appro...

2003
JIUCHENG XU JUNYI SHEN

In this paper, two similarity measures are proposed: one for the similarity between rough sets in the classical rough set theory based on indiscernibility relation and the other between rough sets in the extended rough set theory based on limited tolerance relation. The proposed measures can provide a useful way for measuring the degree of similarity between rough sets. Key-words: Rough set; In...

Journal: :Inf. Sci. 1998
Theresa Beaubouef Frederick E. Petry Gurdial Arora

Rough set theory has become well-established as a mechanism for uncertainty management in a wide variety of applications including databases. This paper addresses the measurement of uncertainty in rough sets and rough relational databases by introducing a measurement based on information theory. This rough entropy is discussed as it applies to rough sets in general, and in particular to aspects...

پایان نامه :وزارت علوم، تحقیقات و فناوری - دانشگاه علامه طباطبایی - دانشکده ادبیات و زبانهای خارجی 1389

this study gives a rough notional method to find their textual placing and valuating in the text, narrows the board of vision to mystic items and finally lists the strategies used by the translators of mathnawi to present solutions for preserving the additional values. at last, as the sum-up, strategies in comparison would be presented. it should be noted that by extending the translations from...

Journal: :Symmetry 2017
Zhi-Lian Guo Yan-Ling Liu Hai-Long Yang

In this paper, we extend the rough set model on two different universes in intuitionistic fuzzy approximation spaces to a single-valued neutrosophic environment. Firstly, based on the (α, β, γ)-cut relation R̃{(α,β,γ)}, we propose a rough set model in generalized single-valued neutrosophic approximation spaces. Then, some properties of the new rough set model are discussed. Furthermore, we obtai...

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