Academic literature on the topic 'INTUITIONISTIC FUZZY SET'

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Journal articles on the topic "INTUITIONISTIC FUZZY SET"

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Jeon, Joung Kon, Young Bae Jun, and Jin Han Park. "Intuitionistic fuzzy alpha-continuity and intuitionistic fuzzy precontinuity." International Journal of Mathematics and Mathematical Sciences 2005, no. 19 (2005): 3091–101. http://dx.doi.org/10.1155/ijmms.2005.3091.

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A characterization of intuitionistic fuzzyα-open set is given, and conditions for an IFS to be an intuitionistic fuzzyα-open set are provided. Characterizations of intuitionistic fuzzy precontinuous (resp.,α-continuous) mappings are given.
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Kareem Mnahi, Afakar. "On Intuitionistic Fuzzy Minimal Semi-preopen Set." University of Thi-Qar Journal of Science 6, no. 3 (2017): 19–24. http://dx.doi.org/10.32792/utq/utjsci/v6i3.27.

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In this paper, we introduce the concept of intuitionistic fuzzy minimal open sets on intuitionistic fuzzy topological space. We introduce the concepts of closure and interior defined by intuitionistic fuzzy minimal open set and intuitionistic fuzzy minimal closed set. We also introduce a intuitionistic fuzzy minimal semi-preopen and intuitionistic fuzzy minimal semi-preclosed. We also redefine the concepts of closure and interior by intuitionistic fuzzy minimal semi-preopen set and intuitionistic fuzzy minimal semi-preclosed set and we introduce the concept of intuitionistic fuzzy minimal semi
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Szmidt, Eulalia, and Janusz Kacprzyk. "A Fuzzy Set Corresponding to an Intuitionistic Fuzzy Set." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 06, no. 05 (1998): 427–35. http://dx.doi.org/10.1142/s0218488598000343.

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We propose a new approach to find a fuzzy set which corresponds to a given intuitionistic fuzzy set (Atanassov, 1986) in a certain sense. This will help extend a huge array of fuzzy properties, models, etc. available to the case of intuitionistic fuzzy sets.
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Pratama, Dian. "STRUKTUR IMAGE DAN PRE-IMAGE HOMOMORFISMA PADA TRANSLASI RING FUZZY INTUITIONISTIK." Jurnal Ilmiah Matematika dan Pendidikan Matematika 11, no. 1 (2020): 59. http://dx.doi.org/10.20884/1.jmp.2020.12.1.1937.

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A set that is characterized by membership function and a non-membership function with the sum of both at intervals of 0 to 1 is called intuitionistik fuzzy set.. When it’s applied in ring’s theory, it will called intuitionistic fuzzy ring. In this research,if the topics is membership fuction and non-membership function then there are translates operator. This operator only changes the values of the membership and non-membership function while the properties are fixed. This journal discussed the structure of image ad pre-image homomorphism of translates on intuitionistic fuzzy rings. The result
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Mandal, Debabrata. "A Hesitant Intuitionistic Fuzzy Set Approach to Study Ideals of Semirings." International Journal of Fuzzy System Applications 10, no. 3 (2021): 1–17. http://dx.doi.org/10.4018/ijfsa.2021070101.

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The classical set theory was extended by the theory of fuzzy set and its several generalizations, for example, intuitionistic fuzzy set, interval valued fuzzy set, cubic set, hesitant fuzzy set, soft set, neutrosophic set, etc. In this paper, the author has combined the concepts of intuitionistic fuzzy set and hesitant fuzzy set to study the ideal theory of semirings. After the introduction and the priliminary of the paper, in Section 3, the author has defined hesitant intuitionistic fuzzy ideals and studied several properities of it using the basic operations intersection, homomorphism and ca
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Priya, Arora, and P. Tomar V. "Selecting the Best Project using Generalized Parametric Fuzzy Entropy Measure on Intuitionistic Fuzzy Sets." Indian Journal of Science and Technology 16, no. 30 (2023): 2276–86. https://doi.org/10.17485/IJST/v16i30.637.

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Abstract Objectives: To develop a new parametric measure of entropy for Intuitionistic Fuzzy Sets and to study its application in selecting the best project for a company. Methods: We have used five-point Likert scale to determine the feedback of different projects and devised a method based on parametric intuitionistic fuzzy entropy to select the best project for the company. Findings: In this study, a parametric measure of entropy is being proposed for intuitionistic fuzzy sets. It is a generalized version of entropy for intuitionistic fuzzy sets. Properties of the proposed entropy have also
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Roh, Eun Hwan, Eunsuk Yang, and Young Bae Jun. "Intuitionistic Fuzzy Ordered Subalgebras in Ordered BCI-algebras." European Journal of Pure and Applied Mathematics 16, no. 3 (2023): 1342–58. http://dx.doi.org/10.29020/nybg.ejpam.v16i3.4832.

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In this paper, we apply the concept of an intuitionistic fuzzy set to ordered subalgebras in ordered BCI-algebras in the sense of intuitionistic fuzzy point. We introduce the notion of an intuitionistic fuzzy (ordered) subalgebra in ordered BCI-algebras, and investigate some related properties. We provide relations between an intuitionistic fuzzy ordered subalgebra and an intuitionistic fuzzy subalgebra. We give characterizations of an intuitionistic fuzzy (ordered) subalgebra. Finally, we provide relations between a $q_{(t,s)}$-level set of intuitionistic fuzzy set and an intuitionistic fuzzy
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Bashir, Maruah, Abdul Razak Salleh, and Shawkat Alkhazaleh. "Possibility Intuitionistic Fuzzy Soft Set." Advances in Decision Sciences 2012 (March 13, 2012): 1–24. http://dx.doi.org/10.1155/2012/404325.

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Possibility intuitionistic fuzzy soft set and its operations are introduced, and a few of their properties are studied. An application of possibility intuitionistic fuzzy soft sets in decision making is investigated. A similarity measure of two possibility intuitionistic fuzzy soft sets has been discussed. An application of this similarity measure in medical diagnosis has been shown.
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Balamurugan, Manivannan, Nazek Alessa, Karuppusamy Loganathan, and M. Sudheer Kumar. "Bipolar Intuitionistic Fuzzy Soft Ideals of BCK/BCI-Algebras and Its Applications in Decision-Making." Mathematics 11, no. 21 (2023): 4471. http://dx.doi.org/10.3390/math11214471.

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In this paper, we merge the concepts of soft set theory and a bipolar intuitionistic fuzzy set. A bipolar intuitionistic fuzzy soft ideal in a BCK-algebra is defined as a soft set over the set of elements in the BCK-algebra, with each element associated with an intuitionistic fuzzy set. This relationship captures degrees of uncertainty, hesitancy, and non-membership degrees within the context of BCK-algebras. We investigate basic operations on bipolar intuitionistic fuzzy soft ideals such as union, intersection, AND, and OR. The intersection, union, AND, and OR of two bipolar intuitionistic fu
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Anjan, Mukherjee, Kanti Das Ajoy, and Saha Abhijit. "MORE ON INTERVAL-VALUED INTUITIONISTIC FUZZY SOFT MULTI SETS." Advances in Vision Computing: An International Journal (AVC) 2, no. 2 (2015): 01–21. https://doi.org/10.5281/zenodo.3591661.

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In 2013, Mukherje et al. developed the concept of interval-valued intuitionistic fuzzy soft multi set as a mathematical tool for making descriptions of the objective world more realistic, practical and accurate in some cases, making it very promising. In this paper we define some operations in interval-valued intuitionistic fuzzy soft multi set theory and show that the associative, distribution and De Morgan’s type of results hold in interval-valued intuitionistic fuzzy soft multi set theory for the newly defined operations in our way. Also, we define the necessity and possibility operat
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Dissertations / Theses on the topic "INTUITIONISTIC FUZZY SET"

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KUMARI, RANJEETA, and SHIVAM SHARMA. "HIERARCHICAL CLUSTERING OF PICTURE FUZZY RELATION." Thesis, 2023. http://dspace.dtu.ac.in:8080/jspui/handle/repository/20420.

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The paper aims to find the (𝛼̃,𝛽̃𝛾̃) - cuts of picture fuzzy relation and apply it to find its hierarchical clustering. we studied the previous results of Intuitionistic fuzzy relation and its (𝛼̃,𝛽̃,𝛾̃) - cuts. We propose a technique of finding 𝛼̃ - cuts of picture fuzzy sets using results of intuitionistic fuzzy set. Membership of PFS mainly deals with positive, negative and neutral membership while IFS only deals with positive and negative membership. In this paper, we attempt to study picture fuzzy set more deeply and providing the more results in picture fuzzy relation that co
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Peng, Jen-pin, and 彭仁賓. "The Study of Optimizing Multi-response Problems with Intuitionistic Fuzzy Set." Thesis, 2014. http://ndltd.ncl.edu.tw/handle/79486084912217317899.

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博士<br>國立中央大學<br>機械工程學系<br>103<br>The Taguchi method provides an effective framework for improving quality in industry. However, it determines the optimal setting of process parameters according to only single response. For the sake of optimizing multi-response problems, multiple criteria decision making (MCDM) methods have been extensively utilized in recent years. In considering an engineer's opinion in optimizing a multi-response problem, it must be paid to vagueness and hesitancy in revealing his or her perceptions of a fuzzy concept such as 'importance' or 'excellence'. Recently, the notio
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Kabir, Sohag, T. K. Goek, M. Kumar, M. Yazdi, and F. Hossain. "A method for temporal fault tree analysis using intuitionistic fuzzy set and expert elicitation." 2019. http://hdl.handle.net/10454/17992.

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Yes<br>Temporal fault trees (TFTs), an extension of classical Boolean fault trees, can model time-dependent failure behaviour of dynamic systems. The methodologies used for quantitative analysis of TFTs include algebraic solutions, Petri nets (PN), and Bayesian networks (BN). In these approaches, precise failure data of components are usually used to calculate the probability of the top event of a TFT. However, it can be problematic to obtain these precise data due to the imprecise and incomplete information about the components of a system. In this paper, we propose a framework that combines
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Chia-Yi, Chien, and 簡嘉毅. "An Improved Cross-Entropy Approach for Pattern Recognition Based on Intuitionistic Fuzzy Set." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/98868305678012283391.

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碩士<br>國防大學管理學院<br>運籌管理學系<br>97<br>The thesis addresses the issue of information-theoretic discrimination measures for intuitionistic fuzzy sets (IFSs). Although many measures of distance, similarity, dissimilarity, and correlation between IFSs have been proposed, there is no reference regarding information-driven measures used for comparison between sets. In this work, we introduce the concepts of discrimination information and cross-entropy in the intuitionistic fuzzy sets and improve non-probabilistic entropy proposed by Vlachos & Sergiadis (2007) for IFSs. Based on this entropy measure, we
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Ching-Lin, Lin, and 林敬霖. "Kernel Intuitionistic Fuzzy C-Means Clustering Algorithms with Rough Set for Customer Analysis." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/69926836270687990934.

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碩士<br>龍華科技大學<br>資訊管理系碩士班<br>101<br>Fuzzy C-mean (FCM) algorithms have been widely used in variety of different places. This paper proposes a kernel intuitionistic fuzzy c-means clustering algorithms with rough set (KIFCMRS), and this method is applied to the E-learning data analysis. The rule generation can be divided into two stages for effective rule generation. In the first stage, KIFCM takes advantages of kernel function and intuitionistic fuzzy sets to cluster raw data into similarity groups. In the second stage, the rough set theory is employed to generate rules with different groups. Fi
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Books on the topic "INTUITIONISTIC FUZZY SET"

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Som, Tanmoy, Oscar Castillo, Anoop Kumar Tiwari, and Shivam Shreevastava, eds. Fuzzy, Rough and Intuitionistic Fuzzy Set Approaches for Data Handling. Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-19-8566-9.

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Atanassov, Krassimir T. On Intuitionistic Fuzzy Sets Theory. Springer Berlin Heidelberg, 2012.

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Chaira, Tamalika. Fuzzy Set and Its Extension: The Intuitionistic Fuzzy Set. Wiley & Sons, Incorporated, John, 2019.

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Chaira, Tamalika. Fuzzy Set and Its Extension: The Intuitionistic Fuzzy Set. Wiley, 2019.

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Chaira, Tamalika. Fuzzy Set and Its Extension: The Intuitionistic Fuzzy Set. Wiley & Sons, Limited, John, 2019.

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Chaira, Tamalika. Fuzzy Set and Its Extension: The Intuitionistic Fuzzy Set. Wiley & Sons, Incorporated, John, 2019.

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Tiwari, Anoop Kumar, Shivam Shreevastava, Oscar Castillo, and Tanmoy Som. Fuzzy, Rough and Intuitionistic Fuzzy Set Approaches for Data Handling: Theory and Applications. Springer, 2023.

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Atanassov, Krassimir T. Intuitionistic Fuzzy Sets: Theory and Applications. Physica-Verlag, 2013.

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Szmidt, Eulalia. Distances and Similarities in Intuitionistic Fuzzy Sets. Springer, 2014.

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Szmidt, Eulalia. Distances and Similarities in Intuitionistic Fuzzy Sets. Springer London, Limited, 2013.

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Book chapters on the topic "INTUITIONISTIC FUZZY SET"

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Li, Deng-Feng. "Intuitionistic Fuzzy Set Theories." In Decision and Game Theory in Management With Intuitionistic Fuzzy Sets. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-40712-3_1.

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Wu, Le-tao, and Xue-hai Yuan. "Intuitionistic Fuzzy Rough Set Based on the Cut Sets of Intuitionistic Fuzzy Set." In Advances in Intelligent Systems and Computing. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-66514-6_4.

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Gupta, Krishna Kumar, and Sanjay Kumar. "Probabilistic Intuitionistic Fuzzy Set Based Intuitionistic Fuzzy Time Series Forecasting Method." In Mathematical Modelling and Scientific Computing with Applications. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-1338-1_23.

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Zhang, Yanqin, and Xibei Yang. "An Intuitionistic Fuzzy Dominance–Based Rough Set." In Bio-Inspired Computing and Applications. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-24553-4_88.

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Cornelis, Chris, and Etienne Kerre. "Inclusion Measures in Intuitionistic Fuzzy Set Theory." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-45062-7_28.

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Kahraman, Cengiz, Alexander Bozhenyuk, and Margarita Knyazeva. "Internally Stable Set in Intuitionistic Fuzzy Graph." In Lecture Notes in Networks and Systems. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-09173-5_65.

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Atanassov, Krassimir T. "On the Intuitionistic Fuzzy Implications and Negations. Part 1." In 35 Years of Fuzzy Set Theory. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-16629-7_2.

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Gupta, Ananya, and Shahin Ara Begum. "Fuzzy Rough Set-Based Feature Selection for Text Categorization." In Fuzzy, Rough and Intuitionistic Fuzzy Set Approaches for Data Handling. Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-19-8566-9_4.

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Bisht, Kamlesh, Dheeraj Kumar Joshi, and Sanjay Kumar. "Dual Hesitant Fuzzy Set-Based Intuitionistic Fuzzy Time Series Forecasting." In Advances in Intelligent Systems and Computing. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-10-7386-1_28.

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Chaira, Tamalika, and Tridib Chaira. "Intuitionistic Fuzzy Set: Application to Medical Image Segmentation." In Computational Intelligence in Medical Informatics. Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-75767-2_3.

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Conference papers on the topic "INTUITIONISTIC FUZZY SET"

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Cui, Hao, Kaihua Jiang, Yunpeng Liu, Qing Tian, and Jingyuan Chen. "Adaptive construction method of high-quality electricity user portrait based on intuitionistic fuzzy set." In 2024 4th International Conference on Electrical Engineering and Control Science (IC2ECS). IEEE, 2024. https://doi.org/10.1109/ic2ecs64405.2024.10927729.

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Xu, Yong-jie, Yong-kan Sun, and Deng-feng Li. "Intuitionistic Fuzzy Soft Set." In 2010 2nd International Workshop on Intelligent Systems and Applications (ISA). IEEE, 2010. http://dx.doi.org/10.1109/iwisa.2010.5473444.

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Lu, Yanli, Yingjie Lei, and Yang Lei. "Intuitionistic fuzzy rough set based on intuitionistic similarity relation." In 2008 Chinese Control and Decision Conference (CCDC). IEEE, 2008. http://dx.doi.org/10.1109/ccdc.2008.4597422.

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Xu, Yon-Hong, and Wei-Zhi Wu. "On intuitionistic fuzzy rough set algebras." In 2010 International Conference on Machine Learning and Cybernetics (ICMLC). IEEE, 2010. http://dx.doi.org/10.1109/icmlc.2010.5580541.

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Nair, Premchand S. "Consolidation operator for Intuitionistic Fuzzy Set." In NAFIPS 2009 - 2009 Annual Meeting of the North American Fuzzy Information Processing Society. IEEE, 2009. http://dx.doi.org/10.1109/nafips.2009.5156483.

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Zenian, Suzelawati, Tahir Ahmad, and Amidora Idris. "Intuitionistic fuzzy set: FEEG image representation." In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND TECHNOLOGY 2018 (MATHTECH2018): Innovative Technologies for Mathematics & Mathematics for Technological Innovation. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5136486.

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Kumar, Deepak, and S. B. Singh. "Evaluating fuzzy reliability using rough intuitionistic fuzzy set." In 2014 Innovative Applications of Computational Intelligence on Power, Energy and Controls with their Impact on Humanity (CIPECH). IEEE, 2014. http://dx.doi.org/10.1109/cipech.2014.7019037.

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Kaushal, Meenakshi, Rinki Solanki, Q. M. Danish Lohani, and Pranab K. Muhuri. "A Novel Intuitionistic Fuzzy Set Generator with Application to Clustering." In 2018 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). IEEE, 2018. http://dx.doi.org/10.1109/fuzz-ieee.2018.8491602.

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Khatibi, Vahid, and Gholam Ali Montazer. "Intuitionistic fuzzy set application in bacteria recognition." In 2009 14th International CSI Computer Conference (CSICC 2009) (Postponed from July 2009). IEEE, 2009. http://dx.doi.org/10.1109/csicc.2009.5349609.

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Chaira, Tamalika. "Medical image enhancement using intuitionistic fuzzy set." In 2012 1st International Conference on Recent Advances in Information Technology (RAIT). IEEE, 2012. http://dx.doi.org/10.1109/rait.2012.6194479.

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Reports on the topic "INTUITIONISTIC FUZZY SET"

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Atanasso, Krassimir. Elliptic Intuitionistic Fuzzy Sets. "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences, 2021. http://dx.doi.org/10.7546/crabs.2021.06.02.

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Ismaili, Shpend, and Stefka Fidanova. Application of Intuitionistic Fuzzy Sets on Agent Based Modelling. "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences, 2018. http://dx.doi.org/10.7546/crabs.2018.06.12.

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Atanassov, Krassimir. A New Modal Type Operator over Intuitionistic Fuzzy Sets. "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences, 2020. http://dx.doi.org/10.7546/crabs.2020.08.01.

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