一种分析扩展模糊逻辑的架构

Farnaz SABAHI; M.-R. AKBARZADEH-T

doi:10.1631/jzus.C1300217

Your Location：

Home >

Browse articles >

一种分析扩展模糊逻辑的架构

计算机与自动化 | Updated：2022-05-19

- 一种分析扩展模糊逻辑的架构
- A framework for analysis of extended fuzzy logic
- 信息与电子工程前沿（英文） 2014年15卷第7期页码：584-591
- Affiliations：
  
  Center of Excellence on Soft Computing and Intelligent Information Processing, Department of Electrical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
- Author bio：
  
  [ "SABAHI Farnaz, E-mail: farna.sabahi@stu-mail.um.ac.ir" ]
  [ "AKBARZADEH-T M.-R., E-mail:akbarzadeh@ieee.org" ]
- Funds：
- DOI：10.1631/jzus.C1300217
  中图分类号： TP273
- 收稿：2013-08-15，
  
  修回：2016-;6-16，
  
  纸质出版：2014-07
- Accepted：
Scan QR Code
一种分析扩展模糊逻辑的架构[J]. 信息与电子工程前沿（英文）, 2014,15(7):584-591.

Farnaz SABAHI, M.-R. AKBARZADEH-T. A framework for analysis of extended fuzzy logic[J]. Frontiers of Information Technology & Electronic Engineering, 2014, 15(7): 584-591.
一种分析扩展模糊逻辑的架构[J]. 信息与电子工程前沿（英文）, 2014,15(7):584-591. DOI： 10.1631/jzus.C1300217.

Farnaz SABAHI, M.-R. AKBARZADEH-T. A framework for analysis of extended fuzzy logic[J]. Frontiers of Information Technology & Electronic Engineering, 2014, 15(7): 584-591. DOI： 10.1631/jzus.C1300217.

摘要

研究目的

模糊逻辑的结论蕴含可证明为有效这一必要条件，而许多实际应用并不满足此条件。扩展模糊逻辑是在模糊逻辑基础上考虑有效性以满足此条件。目前扩展模糊逻辑理论描述相关工作很少。本文提出一种分析扩展模糊逻辑的架构，给出基于扩展模糊逻辑推理的数学描述。

创新要点

首次给出基于扩展模糊逻辑推理的数学描述。引入A-基粒（A-granule）的概念---A-基粒是保留f变换（f-transform）全部特性的最小基粒。

方法提亮

通过定理证明以及提出A-基粒概念，详细介绍了扩展模糊逻辑的关键特性。

重要结论

在扩展模糊逻辑中，不完整信息下的解接近完整信息下的解。在相同背景下，两种情形下的解与其有效性同构。由本文给出的扩展模糊逻辑理论描述可以明确，完整信息并非解决问题之必需，不过信息越充分，越能得到确切解。基于扩展模糊逻辑的推理，计算量小，速度快。

Abstract

We address a framework for the analysis of extended fuzzy logic (FLe) and elaborate mainly the key characteristics of FLe by proving several qualification theorems and proposing a new mathematical tool named the A-granule. Specifically

we reveal that within FLe a solution in the presence of incomplete information approaches the one gained by complete information. It is also proved that the answers and their validities have a structural isomorphism within the same context. This relationship is then used to prove the representation theorem that addresses the rationality of FLe-based reasoning. As a consequence of the developed theoretical description of FLe

we assert that in order to solve a problem

having complete information is not a critical need; however

with more information

the answers achieved become more specific. Furthermore

reasoning based on FLe has the advantage of being computationally less expensive in the analysis of a given problem and is faster.

关键词

Keywords

references

R.A. Aliev , , , A.V. Alizadeh , , , B.G. Guirimov . . Unpre-cisiated information-based approach to decision making with imperfect information . . Proc. 9th Int. Conf. on Application of Fuzzy Systems and Soft Computing , , 2010 . . p.387 - - 397 . . . .

D. Dubois , , , H. Prade . . What are fuzzy rules and how to use them . . Fuzzy Sets Syst , , 1996 . . 84 ( ( 2 ): ): 169 - - 185 . . DOI: 10.1016/0165-0114(96)00066-8 http://doi.org/10.1016/0165-0114(96)00066-8 . .

D. Dubois , , , H. Prade . . Gradualness, uncertainty and bipolarity: making sense of fuzzy sets . . Fuzzy Sets Syst , , 2012 . . 192 3 - - 24 . . DOI: 10.1016/j.fss.2010.11.007 http://doi.org/10.1016/j.fss.2010.11.007 . .

P. Hájek . . What is mathematical fuzzy logic . . Fuzzy Sets Syst , , 2006 . . 157 ( ( 5 ): ): 597 - - 603 . . DOI: 10.1016/j.fss.2005.10.004 http://doi.org/10.1016/j.fss.2005.10.004 . .

B.M. Imran , , , M.M.S. Beg . . Elements of sketching with words . . Int. J. Gran. Comput. Rough Sets Intell. Syst , , 2011 . . 2 ( ( 2 ): ): 166 - - 178 . . DOI: 10.1504/IJGCRSIS.2011.043371 http://doi.org/10.1504/IJGCRSIS.2011.043371 . .

B.M. Imran , , , M.M.S. Beg . . Fuzzy identification of geometric shapes. In : Meghanathan, N., Chaki, N., Nagamalai, D. (Eds.), Advances in Computer Science and Information Technology . . Springer Berlin Heidelberg , , 2012 . . p.269 - - 279 . . . .

V.A. Niskanen . . Application of Zadeh's impossibility principle to approximate explanation . . IFSA/EUSFLAT Conf , , 2009 . . p.561 - - 567 . . . .

V.A. Niskanen . . A meta-level approach to approximate probability. In : Setchi, R., Jordanov, I., Howlett, R.J., et al . (Eds.), Knowledge-based and Intelligent Information and Engineering Systems . . Springer Berlin Heidelberg , , 2010 . . p.116 - - 123 . . DOI: 10.1007/978-3-642-15384-6_13 http://doi.org/10.1007/978-3-642-15384-6_13 . .

V.A. Niskanen . . Prospects for applying fuzzy extended logic to scientific reasoning. In : Kantola, J., Karwowski, W. (Eds.), Knowledge Service Engineering Handbook . . CRC Press , , 2012 . . p.279 - - 306 . . DOI: 10.1201/b12043-15 http://doi.org/10.1201/b12043-15 . .

V.A. Niskanen . . On examination of medical data with approximate reasoning. In : Seising, R., Tabacchi, M.E. (Eds.), Fuzziness and Medicine: Philosophical Reflections and Application Systems in Health Care . . Springer Berlin Heidelberg , , 2013 . . p.269 - - 290 . . . .

I. Perfilieva . . Fuzzy transforms: theory and applications . . Fuzzy Sets Syst , , 2006 . . 157 ( ( 8 ): ): 993 - - 1023 . . DOI: 10.1016/j.fss.2005.11.012 http://doi.org/10.1016/j.fss.2005.11.012 . .

S. Raha , , , K.S. Ray . . Reasoning with vague truth . . Fuzzy Sets Syst , , 1999 . . 105 ( ( 3 ): ): 385 - - 399 . . DOI: 10.1016/S0165-0114(97)00219-4 http://doi.org/10.1016/S0165-0114(97)00219-4 . .

F. Sabahi , , , M.R. Akbarzadeh-T . . A qualified descrip-tion of extended fuzzy logic . . Inform. Sci , , 2013 . . 244 60 - - 74 . . DOI: 10.1016/j.ins.2013.03.020 http://doi.org/10.1016/j.ins.2013.03.020 . .

F. Sabahi , , , M.R. Akbarzadeh-T . . Comparative evaluation of risk factors in coronary heart disease based on fuzzy probability-validity modeling . . ZUMS J , , 2014a . . 22 ( ( 91 ): ): 73 - - 83 . . . .

F. Sabahi , , , M.R. Akbarzadeh-T . . Introducing validity in fuzzy probability for judicial decision-making . . Int. J. Approx. Reason , , 2014b . . 55 ( ( 6 ): ): 1383 - - 1403 . . DOI: 10.1016/j.ijar.2013.12.003 http://doi.org/10.1016/j.ijar.2013.12.003 . .

J.B. Tolosa , , , S. Guadarrama . . Collecting fuzzy percep-tions from non-expert users . . IEEE Int. Conf. on Fuzzy Systems , , 2010 . . p.1 - - 8 . . DOI: 10.1109/FUZZY.2010.5584816 http://doi.org/10.1109/FUZZY.2010.5584816 . .

G. Wilke . . Approximate geometric reasoning with extended geographic objects . . Proc. Workshop on Quality, Scale and Analysis Aspects of City Models , , 2009 . . p.102 - - 106 . . . .

L.A. Zadeh . . Fuzzy sets . . Inform. Contr , , 1965 . . 8 ( ( 3 ): ): 338 - - 353 . . DOI: 10.1016/S0019-9958(65)90241-X http://doi.org/10.1016/S0019-9958(65)90241-X . .

L.A. Zadeh . . Toward a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic . . Fuzzy Sets Syst , , 1997 . . 90 ( ( 2 ): ): 111 - - 127 . . DOI: 10.1016/S0165-0114(97)00077-8 http://doi.org/10.1016/S0165-0114(97)00077-8 . .

L.A. Zadeh . . Toward extended fuzzy logic—a first step . . Fuzzy Sets Syst , , 2009 . . 160 ( ( 21 ): ): 3175 - - 3181 . . DOI: 10.1016/j.fss.2009.04.009 http://doi.org/10.1016/j.fss.2009.04.009 . .

L.A. Zadeh . . Precisiation of Meaning—Toward Computation with Natural Language . . Key Note on IRI, Las Vegas, Nevada , , 2010 . . .

浏览量

Downloads

CSCD

文章被引用时，请邮件提醒。

Submit

工具集

关联资源

A fuzzy integrated congestion-aware routing algorithm for network on chip

A dynamic signal coordination control method for urban arterial roads and its application

Dynamic task scheduling modeling in unstructured heterogeneous multiprocessor systems