A framework for analysis of extended fuzzy logic

Farnaz SABAHI; M.-R. AKBARZADEH-T

doi:10.1631/jzus.C1300217

Your Location：

Home >

Browse articles >

A framework for analysis of extended fuzzy logic

Computer & Automation | Updated：2022-05-19

- A framework for analysis of extended fuzzy logic
  Enhanced Publication
- 一种分析扩展模糊逻辑的架构
- Frontiers of Information Technology & Electronic Engineering Vol. 15, Issue 7, Pages: 584-591(2014)
- 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
  CLC： TP273
- Published：2014-07，
  
  Received：15 August 2013，
  
  Revised：16 June 2016，
- Accepted：
Scan QR Code
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：

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

扩展模糊逻辑模糊逻辑f变换S解有效性

Keywords

Extended fuzzy logicFuzzy logicf-TransformationS-answerValidity

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)00066-8http://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. . 1923--24. . DOI:10.1016/j.fss.2010.11.007http://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.2005.10.004http://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.2011.043371http://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_13http://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/b12043-15http://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.2005.11.012http://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)00219-4http://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. . 24460--74. . DOI:10.1016/j.ins.2013.03.020http://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.2013.12.003http://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.2010.5584816http://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-Xhttp://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)00077-8http://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.2009.04.009http://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. ..

Views

Downloads

CSCD

Alert me when the article has been cited

Submit

Tools

Publicity Resources

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

Related Author

Shahrouz YASREBI

Akram REZA

Mohammad NIKRAVAN

Seena VAZIFEDAN

Guo-jiang SHEN

Yong-yao YANG

Hamid TABATABAEE

Mohammad Reza AKBARZADEH-T

Related Institution

Department of Computer Engineering, Shahr-e-Qods Branch, Islamic Azad University, Tehran

Department of Computer Architecture, Science and Research Branch, Islamic Azad University, Tehran

College of Computer Science and Technology, Zhejiang University of Technology

Zhejiang Zheda Supcon Information Technique Co., Ltd.

Department of Computer Engineering, Islamic Azad University, Quchan Branch, Quchan

Address：Zhejiang University Press, 148 Tianmushan Road, Hangzhou, China Postal code：310028
Tel：+86-571-88273162 Email：fitee@zju.edu.cn
It is recommended to read the content of this site in Chrome&IE9+. Please switch to extreme mode in browser 360.
Cookies We use cookies to help provide and enhance our service and tailor content. By continuing, you agree to the use of cookies.

⁰