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The intuitionistic alternative set theory

K. Lano
1993 Annals of Pure and Applied Logic  
., The intuitionistic alternative set theory, Annals of Pure and Applied Logic 59 (1993) 141-156.  ...  The Alternative Set Theory, as defined in Vopenka and Sochor, demonstrates how a set theory which avoids actually infinite sets can serve as a framework for much of classical mathematics.  ...  In IAST, -Vx (small(x) v ismall(x Conclusion We have shown how the Alternative Set Theory can be usefully modified to accommodate the possibility that classes and predicates may not obey the laws of  ... 
doi:10.1016/0168-0072(93)90002-u fatcat:kjyvxy4tgbb5ze5ykouqjtlw3u

Study on the Development of Decision Making Using Intuitionistic Fuzzy Set (IFS) and Interval Valued Intuitionistic Fuzzy Set (IVIFS)

Yasir Ahmad
2013 IOSR Journal of Engineering  
Out of several higher order fuzzy sets [1], the concept of an intuitionistic fuzzy set (IFS) [2] introduced by Atanassov has been found to be highly useful to deal with vagueness and imprecision.  ...  In this paper we reviewed the development of different approaches for solving decision making problem using IFS theory and a brief introduction on the role of Interval Valued IF sets (IVIFS) [5] in multiattribute  ...  In general, the theory of intuitionistic fuzzy sets is the generalization of fuzzy sets.  ... 
doi:10.9790/3021-03443442 fatcat:mw3h4mxe2nfflfk2kub6424cxy

Trapezoidal Intuitionistic Fuzzy Multiattribute Decision Making Method Based on Cumulative Prospect Theory and Dempster-Shafer Theory

Xihua Li, Fuqiang Wang, Xiaohong Chen
2014 Journal of Applied Mathematics  
Then considering uncertain attribute weight information, Dempster-Shafer theory is used to aggregate prospect values for each alternative, and overall prospect values are obtained and thus the alternatives  ...  With respect to decision making problems under uncertainty, a trapezoidal intuitionistic fuzzy multiattribute decision making method based on cumulative prospect theory and Dempster-Shafer theory is developed  ...  Recently, intuitionistic fuzzy set received more and more attention [14] [15] [16] [17] [18] . However, both the fuzzy set and the intuitionistic fuzzy set only use discrete domains.  ... 
doi:10.1155/2014/279138 fatcat:t5lblaispngazhqqxw6ygssw54

A study on the Role of Intuitionistic Fuzzy Set in Decision making problems

Sadia Husain, Yasir Ahmad, M. Afshar Alam
2012 International Journal of Computer Applications  
The theory of fuzzy sets [1] proposed by Zadeh has achieved a great success in various fields.  ...  In this paper we reviewed the development of different approaches for solving decision making problem using IFS theory. Keywords Intuitionistic fuzzy sets (IFS), Multicriteria Decision Making (MCDM).  ...  In general, the theory of intuitionistic fuzzy sets is the generalization of fuzzy sets.  ... 
doi:10.5120/7458-0501 fatcat:eekjqe6oxngc5puczyqz5pkwry


Peide LIU
2016 Technological and Economic Development of Economy  
The first one includes two papers which provide some new theory for intuitionistic fuzzy set, such as novel score function and accuracy function, the spherical distance for intuitionistic fuzzy sets, and  ...  About the papers of this special issue Now, we briefly summarize the contents of this special issue in which there are five new contributions on the theory of intuitionistic fuzzy sets and the methods  ... 
doi:10.3846/20294913.2016.1185047 fatcat:2ovpa24cwnbofiieqfbtrkciva

Fuzzy multicriteria decision making method based on the improved accuracy function for interval-valued intuitionistic fuzzy sets

Rıdvan Şahin
2015 Soft Computing - A Fusion of Foundations, Methodologies and Applications  
A new accuracy function for the theory of interval-valued intuitionistic fuzzy set, which overcomes some difficulties arising in the existing methods for determining rank of interval-valued intuitionistic  ...  A fuzzy multicriteria decision making method is established to select the best alternative in multicriteria decision making process which is taken as interval-valued intuitionistic fuzzy set of criterion  ...  Zadeh (1965) initiated the concept of fuzzy set theory as a mathematical tool for dealing with uncertainties.  ... 
doi:10.1007/s00500-015-1657-x fatcat:qjiauouqwvhnlkkyscyuf33vwa

Decision-Maker's Risk Preference Based Intuitionistic Fuzzy Multiattribute Decision-Making and Its Application in Robot Enterprises Investment

Liandong Zhou, Qifeng Wang
2018 Mathematical Problems in Engineering  
At present, the utilization of hesitation information of intuitionistic fuzzy numbers is insufficient in many methods which were proposed to solve the intuitionistic fuzzy multiple attribute decision-making  ...  And also there exist some flaws in the intuitionistic fuzzy weight vector constructions in many research papers.  ...  Introduction In 1986, the fuzzy theory of Zadeh [1] was extended to the intuitionistic fuzzy theory by Atanassov [2] .  ... 
doi:10.1155/2018/1720189 fatcat:mdtm27v4mbeyhe74r2s6mocvtq

An Intuitionistic Extension of the Simple WISP Method

Edmundas Kazimieras Zavadskas, Dragisa Stanujkic, Zenonas Turskis, Darjan Karabasevic
2022 Entropy  
The extension takes advantage of intuitionistic fuzzy sets for solving complex decision-making problems. The example of contractor selection demonstrates the use of the proposed extension.  ...  In this article, we present a new extension of the Integrated Simple Weighted Sum-Product (WISP) method, adapted for intuitionistic numbers.  ...  Acknowledgments: The authors wish to thank the anonymous reviewers for the valuable suggestions and comments, which improved the quality of this article.  ... 
doi:10.3390/e24020218 pmid:35205512 pmcid:PMC8871104 fatcat:ytquuqfiwba5fog22vpc7pawoi

An intuitionistic approach for one-shot decision making

Aamir Mahboob, Tabasam Rashid, Wojciech Salabun
2018 Open Journal of Mathematical Sciences  
Later, Atanassov popularized it as an intuitionistic fuzzy set (IFS) more precisely than the fuzzy logic theory in 1983.  ...  In 1965, L.A Zadeh inaugurated the idea of fuzzy set theory by extrapolating classical set theory.  ...  Acknowledgments The author would like to thank the editor and the anonymous referee for their helpful comments.  ... 
doi:10.30538/oms2018.0026 fatcat:mpht3emv5ndmto5ogvfj5y7qp4

An approach to Atanassov's interval-valued intuitionistic fuzzy multi-attribute decision making based on prospect theory

Fanyong Meng, Chunqiao Tan, Xiaohong Chen
2015 International Journal of Computational Intelligence Systems  
Keywords: multi-attribute decision making; prospect theory; Atanassov's interval-valued intuitionistic fuzzy set; Atanassov's interval-valued intuitionistic fuzzy prospect value Atanassov [9] presented  ...  , the comprehensive Atanassov's interval-valued intuitionistic fuzzy prospect value of each alternative is calculated.  ...  Acknowledgements The authors first gratefully thank the Editor-in-Chief Prof. L.  ... 
doi:10.1080/18756891.2015.1036224 fatcat:gavyh4h37fezrer5fydt7tfzdq

A Distance Model of Intuitionistic Fuzzy Cross Entropy to Solve Preference Problem on Alternatives

Mei Li, Chong Wu
2016 Mathematical Problems in Engineering  
This research makes the decision-making process more scientific and further improves the theory of intuitionistic fuzzy multiple attribute decision-making.  ...  , and the preference on alternatives, this paper proposes a comprehensive decision model based on the intuitionistic fuzzy cross entropy distance and the grey correlation analysis.  ...  The Basic Theory of the Intuitionistic Fuzzy Set In this section, we introduce some basic knowledge and the necessary concepts related to the intuitionistic fuzzy set and the distance measure formula.  ... 
doi:10.1155/2016/8324124 fatcat:wfxyfw2jofgdnoufephufwea6u

Hybrid Multicriteria Group Decision Making Method for Information System Project Selection Based on Intuitionistic Fuzzy Theory

Jian Guo
2013 Mathematical Problems in Engineering  
The aim of this paper is to develop a hybrid multicriteria group decision making approach based on intuitionistic fuzzy theory for IS project selection.  ...  TOPSIS method combined with intuitionistic fuzzy set is proposed to select appropriate IS project in group decision making environment.  ...  Acknowledgment This work was supported by the National Natural Science Foundation of China under Grant no. 70901079.  ... 
doi:10.1155/2013/859537 fatcat:tq2byy2dancyvkwcdon6pxvhk4

Multicriteria fuzzy decision-making methods based on intuitionistic fuzzy sets

Lin Lin, Xue-Hai Yuan, Zun-Quan Xia
2007 Journal of computer and system sciences (Print)  
The proposed method allows the degrees of satisfiability and non-satisfiability of each alternative with respect to a set of criteria to be represented by intuitionistic fuzzy sets, respectively.  ...  In this paper, a new method for handling multicriteria fuzzy decision-making problems based on intuitionistic fuzzy sets is presented.  ...  Introduction Since Zadeh presented the theory of fuzzy sets in 1965 [1] , fuzzy sets theory has been used for handling fuzzy decision-making problems.  ... 
doi:10.1016/j.jcss.2006.03.004 fatcat:yg74qan2dzgtvhwoxkb5p2auba

An Exhaustive Study of Possibility Measures of Interval-Valued Intuitionistic Fuzzy Sets and Application to Multicriteria Decision Making

Fatma Dammak, Leila Baccour, Adel M. Alimi
2016 Advances in Fuzzy Systems  
Thus, we apply some possibility measures from literature to the MCDM method using interval-valued intuitionistic fuzzy sets (IVIFSs).  ...  This work is interested in showing the importance of possibility theory in multicriteria decision making (MCDM).  ...  Abdelmajid Dammak for his proofreading and correction of the English of the paper.  ... 
doi:10.1155/2016/9185706 fatcat:peet7zggxzdqrfdrkwpit3e4zq

Research on the Multiple Attribute Decision Making Model of Intelligent Information Processing with Intuitionistic Fuzzy Information

Chenyang Chai
2015 Open Automation and Control Systems Journal  
Firstly, it introduces the concept of intuitionistic fuzzy sets and fuzzy number directly and sorting method, and the concept of intuitionistic fuzzy vector product.  ...  Secondly, puts forward the intuitionistic fuzzy set method of intuitionistic fuzzy transform, the Multiple Attribute Decision Making Model of Intelligent Information Processing with Intuitionistic Fuzzy  ...  ACKNOWLEDGEMENTS This work is supported by the Project of Youth Science Fund (GJJ10121) of The Education Department of Jiangxi Province, China.  ... 
doi:10.2174/1874444301507011307 fatcat:7xgqaoawmbcdxjmw2pr76s7sku
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