Relevant bibliographies by topics / Intuitionistic Fuzzy Ideal

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Intuitionistic Fuzzy Ideal'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Intuitionistic Fuzzy Ideal"

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Alhaleem, Nour Abed, and Abd Ghafur Ahmad. "Intuitionistic fuzzy normed prime and maximal ideals." AIMS Mathematics 6, no. 10 (2021): 10565–80. http://dx.doi.org/10.3934/math.2021613.

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<abstract><p>Motivated by the new notion of intuitionistic fuzzy normed ideal, we present and investigate some associated properties of intuitionistic fuzzy normed ideals. We describe the intrinsic product of any two intuitionistic fuzzy normed subsets and show that the intrinsic product of intuitionistic fuzzy normed ideals is a subset of the intersection of these ideals. We specify the notions of intuitionistic fuzzy normed prime ideal and intuitionistic fuzzy normed maximal ideal, we present the conditions under which a given intuitionistic fuzzy normed ideal is considered to be
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Derseh, Beza Lamesgin, Berhanu Assaye Alaba, and Yohannes Gedamu Wondifraw. "t-Intuitionistic Fuzzy Structures on PMS-Ideals of a PMS-Algebra." International Journal of Mathematics and Mathematical Sciences 2022 (September 23, 2022): 1–13. http://dx.doi.org/10.1155/2022/5101293.

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In this article, we apply the concept of a t -intuitionistic fuzzy set to PMS-ideals in PMS-algebras. The notion of the t -intuitionistic fuzzy PMS-ideal of PMS-algebra is introduced, and several related properties are studied. The relationships between a t -intuitionistic fuzzy PMS-ideal and a t -intuitionistic fuzzy PMS-subalgebra of a PMS-algebra, as well as the relationships between an intuitionistic fuzzy PMS-ideal and a t -intuitionistic fuzzy PMS-ideal are discussed in detail. A condition for an intuitionistic fuzzy set to be a t -intuitionistic fuzzy PMS-ideal is provided. The t -intui
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G., Muhiuddin A. Mahboob and M. Balamurugan. "Hesitant anti-intuitionistic fuzzy soft commutative ideals of BCK-algebras." Annals of Communications in Mathematics 3, no. 2 (2020): 158–70. https://doi.org/10.5281/zenodo.10044331.

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In this paper, the notions of hesitant anti-intuitionistic fuzzy soft BCI-commutative ideals of BCI-algebras and hesitant anti-intuitionistic fuzzy soft subcommutative ideals of BCK-algebras are introduced and their related properties are investigate. Relations between a hesitant anti-intuitionistic fuzzy soft ideals and hesitant anti-intuitionistic fuzzy soft BCI-commutative ideals are discussed. Conditions for a hesitant anti-intuitionistic fuzzy soft ideal to be a hesitant anti-intuitionistic fuzzy soft BCIcommutative ideal are provided. Finally, it is proved that a hesitant anti-intuitioni
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Lee, Jeong-Gon, Mohammad Fozouni, Kul Hur, and Young Bae Jun. "A p-Ideal in BCI-Algebras Based on Multipolar Intuitionistic Fuzzy Sets." Mathematics 8, no. 6 (2020): 993. http://dx.doi.org/10.3390/math8060993.

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In 2020, Kang, Song and Jun introduced the notion of multipolar intuitionistic fuzzy set with finite degree, which is a generalization of intuitionistic fuzzy set, and they applied it to BCK/BCI-algebras. In this paper, we used this notion to study p-ideals of BCI-algebras. The notion of k-polar intuitionistic fuzzy p-ideals in BCI-algebras is introduced, and several properties were investigated. An example to illustrate the k-polar intuitionistic fuzzy p-ideal is given. The relationship between k-polar intuitionistic fuzzy ideal and k-polar intuitionistic fuzzy p-ideal is displayed. A k-polar
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Sharma, Poonam Kumar. "Generalizations of prime intuitionistic fuzzy ideals of a lattice." Notes on Intuitionistic Fuzzy Sets 30, no. 1 (2024): 26–55. http://dx.doi.org/10.7546/nifs.2024.30.1.26-55.

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As a generalization of the concepts of an intuitionistic fuzzy prime ideal and a prime intuitionistic fuzzy ideal, the concepts of an intuitionistic fuzzy 2-absorbing ideal and a 2-absorbing intuitionistic fuzzy ideal of a lattice are introduced. Some results on such intuitionistic fuzzy ideals are proved. It is shown that the radical of an intuitionistic fuzzy ideal of L is a 2-absorbing intuitionistic fuzzy ideal if and only if it is a 2-absorbing primary intuitionistic fuzzy ideal of L. We also introduce and study these concepts in the product of lattices.
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Jun, Young, Eun Roh, and Mehmet Öztürk. "Positive Implicative Ideals of BCK-Algebras Based on Intuitionistic Falling Shadows." Mathematics 6, no. 9 (2018): 149. http://dx.doi.org/10.3390/math6090149.

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The concepts of a positive implicative ( ∈ , ∈)-intuitionistic fuzzy ideal and a positive implicative falling intuitionistic fuzzy ideal are introduced, and several properties are investigated. Characterizations of a positive implicative ( ∈ , ∈)-intuitionistic fuzzy ideal are obtained, and relations between a positive implicative ( ∈ , ∈)-intuitionistic fuzzy ideal and an intuitionistic fuzzy ideal are discussed. Conditions for an intuitionistic fuzzy ideal to be a positive implicative ( ∈ , ∈)-intuitionistic fuzzy ideal are provided, and relations between a positive implicative ( ∈ , ∈)-intu
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Abed Alhaleem, Nour, and Abd Ghafur Ahmad. "Intuitionistic anti fuzzy normed ideals." Notes on Intuitionistic Fuzzy Sets 27, no. 1 (2021): 60–71. http://dx.doi.org/10.7546/nifs.2021.27.1.60-71.

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In this paper, we introduce the notion of intuitionistic anti fuzzy normed subrings and intuitionistic anti fuzzy normed ideals and various properties of intuitionistic anti fuzzy normal subrings and ideals are examined. Also, we prove that the intersection of two intuitionistic anti fuzzy normed ideals is also an intuitionistic anti fuzzy normed ideal. Besides, we define the anti level subsets and identify the relationship between these sets and intuitionistic anti fuzzy normed ideals. In addition, we define the anti-image of intuitionistic anti fuzzy normed ideals and discuss the inverse ima
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A. Ibrahim and C. Shajitha Begum. "Intuitionistic Fuzzy WI-Ideals of Lattice Wajsberg Algebras." International Journal of Fuzzy Mathematical Archive 15, no. 01 (2018): 07–17. http://dx.doi.org/10.22457/ijfma.v15n1a2.

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In the present paper, we introduce the notions of intuitionistic fuzzy WI-ideal and intuitionistic fuzzy lattice ideal of lattice Wajsberg algebras. We show that every intuitionistic fuzzy WI-ideal of lattice Wajsberg algebra is an intuitionistic fuzzy lattice ideal of lattice Wajsberg algebra. Also, we discuss its converse part. Further, we obtain every intuitionistic fuzzy lattice ideal is an intuitionistic fuzzy WI-ideal in lattice H-Wajsberg algebra. Moreover, we discuss some characterizations of intuitionistic fuzzy WI-ideal.
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Dr. M.Palanivelrajan, Dr M. Palanivelrajan, and S. Nandakumar S.Nandakumar. "Intuitionistic Fuzzy Primary And Semiprimary Ideal." Indian Journal of Applied Research 1, no. 5 (2011): 159–60. http://dx.doi.org/10.15373/2249555x/feb2012/59.

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Xin, Xiaolong, Rajab Borzooei, Mahmood Bakhshi, and Young Jun. "Intuitionistic Fuzzy Soft Hyper BCK Algebras." Symmetry 11, no. 3 (2019): 399. http://dx.doi.org/10.3390/sym11030399.

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Maji et al. introduced the concept of fuzzy soft sets as a generalization of the standard soft sets, and presented an application of fuzzy soft sets in a decision-making problem. Maji et al. also introduced the notion of intuitionistic fuzzy soft sets in the paper [P.K. Maji, R. Biswas and A.R. Roy, Intuitionistic fuzzy soft sets, The Journal of Fuzzy Mathematics, 9 (2001), no. 3, 677–692]. The aim of this manuscript is to apply the notion of intuitionistic fuzzy soft set to hyper BCK algebras. The notions of intuitionistic fuzzy soft hyper BCK ideal, intuitionistic fuzzy soft weak hyper BCK i
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Dissertations / Theses on the topic "Intuitionistic Fuzzy Ideal"

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Ζαφειρόπουλος, Διονύσιος. "Συγκριτική επισκόπηση συστημάτων υποστήριξης της μάθησης". Thesis, 2013. http://hdl.handle.net/10889/6072.

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Τα σύγχρονα πληροφοριακά συστήματα μάθησης τα οποία υποστηρίζουν εξ’ αποστάσεως εκπαίδευση, επιτρέπουν τη συστηματική διαχείριση του εκπαιδευτικού υλικού και υποστηρίζουν τις εκπαιδευτικές διαδικασίες των μαθημάτων. Τα συστήματα αυτά έχουν λειτουργικότητες όπως: η ανάρτηση ψηφιακού υλικού, η διεξαγωγή συζητήσεων, η ανάρτηση ασκήσεων-εργασιών, η πραγματοποίηση εξετάσεων και πολλές άλλες. Στόχος της συγκεκριμένης εργασίας είναι η διερεύνηση του χώρου των συστημάτων μάθησης τα οποία υποστηρίζουν εξ’ αποστάσεως εκπαίδευση καθώς επίσης και η παρουσίαση και η εφαρμογή μεθόδου αξιολόγησης τους, αξιο
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Book chapters on the topic "Intuitionistic Fuzzy Ideal"

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Xu, Zeshui. "On Correlation Measures of Intuitionistic Fuzzy Sets." In Intelligent Data Engineering and Automated Learning – IDEAL 2006. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/11875581_2.

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Raj, Kuldip, and Kavita Saini. "Intuitionistic Fuzzy Generalized Lucas Ideal Convergent Sequence Spaces Associated with Orlicz Function." In Soft Computing Techniques in Engineering, Health, Mathematical and Social Sciences. CRC Press, 2021. http://dx.doi.org/10.1201/9781003161707-10.

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Kumar, Vijay, H. D. Arora, and Kiran Pal. "Intuitionistic Fuzzy-Based Technique Ordered Preference by Similarity to the Ideal Solution (TOPSIS) Method." In Soft Computing Techniques in Connected Healthcare Systems. CRC Press, 2023. http://dx.doi.org/10.1201/9781003405368-5.

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Akram, Muhammad. "Intuitionistic Fuzzy Lie Ideals." In Infosys Science Foundation Series. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-3221-0_2.

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Thasni, T., C. Kalaiarasan, and K. A. Venkatesh. "Service Measurement Index-Based Cloud Service Selection Using Order Preference by Similarity to Ideal Solution Based on Intuitionistic Fuzzy Values." In EAI/Springer Innovations in Communication and Computing. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-78750-9_16.

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Melliani, Said, I. Bakhadach, H. Sadiki, and L. S. Chadli. "Quotient Rings Induced via Intuitionistic Fuzzy Ideals." In Recent Advances in Intuitionistic Fuzzy Logic Systems. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-02155-9_4.

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Khan, Noor Mohammad, and Mohammad Aasim Khan. "Ordered Semigroups Characterized in Terms of Intuitionistic Fuzzy Ideals." In Algebra and its Applications. Springer Singapore, 2016. http://dx.doi.org/10.1007/978-981-10-1651-6_26.

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Liu, Chun-Hui. "Interval-Valued Intuitionistic (T, S)-Fuzzy LI-Ideals in Lattice Implication Algebras." In Quantitative Logic and Soft Computing 2016. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-46206-6_33.

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Khalil, Shuker. "Intuitionistic Fuzzy Soft Ideals." In Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures. IGI Global, 2020. http://dx.doi.org/10.4018/978-1-7998-0190-0.ch006.

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The basic notions of soft sets theory are introduced by Molodtsov to deal with uncertainties when solving problems in practice as in engineering, social science, environment, and economics. This notion is convenient and easy to apply as it is free from the difficulties that appear when using other mathematical tools as theory of theory of fuzzy sets, rough sets, and theory of vague sets. The soft set theory has recently gaining significance for finding rational and logical solutions to various real-life problems, which involve uncertainty, impreciseness, and vagueness. The concepts of intuitio
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Adak, Amal Kumar. "Characterization of Pythagorean Q-Fuzzy Ideal of Near-Ring." In Handbook of Research on Advances and Applications of Fuzzy Sets and Logic. IGI Global, 2022. http://dx.doi.org/10.4018/978-1-7998-7979-4.ch010.

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Pythagorean fuzzy sets are an extension of the intuitionistic fuzzy sets, and they also overcome the limitations of the intuitionistic fuzzy sets. The theory of Pythagorean fuzzy sets possesses significant advantages in handling vagueness and complex uncertainty. Additionally, Pythagorean fuzzy information is used to simulate the ambiguous nature of subjective judgements and measure the fuzziness and impression more flexibly. This chapter presents some useful concepts of Pythagorean fuzzy sub-ring, upper, and lower cut seta. Also, the authors derive some useful properties of Pythagorean Q-fuzz
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Conference papers on the topic "Intuitionistic Fuzzy Ideal"

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Kookhahi, Elham, and Reza Hejazi. "AN APPROACH TO MULTIATTRIBUTE INTERVAL-VALUED INTUITIONISTIC FUZZY GROUP DECISION MAKING BASED ON STOCHASTIC DEMATEL, FUZZY ANP, AND IDEAL POINTAN APPROACH TO MULTIATTRIBUTE INTERVAL-VALUED INTUITIONISTIC FUZZY GROUP DECISION MAKING BASED ON STOCHASTIC DEMATEL, FUZZY ANP, AND IDEAL POINT." In The International Symposium on the Analytic Hierarchy Process. Creative Decisions Foundation, 2011. http://dx.doi.org/10.13033/isahp.y2011.023.

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Alsarahead, Mikhled Okleh, and Abd Ghafur Ahmad. "Complex intuitionistic fuzzy ideals." In THE 2017 UKM FST POSTGRADUATE COLLOQUIUM: Proceedings of the University Kebangsaan Malaysia, Faculty of Science and Technology 2017 Postgraduate Colloquium. Author(s), 2018. http://dx.doi.org/10.1063/1.5028033.

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Yu, Bin, and Xue-Hai Yuan. "The intuitionistic fuzzy subrings and fuzzy ideals." In 2011 Eighth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2011). IEEE, 2011. http://dx.doi.org/10.1109/fskd.2011.6019470.

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Jiayin, Peng. "Intuitionisitic Fuzzy Ideals of BCH-algebras." In 2010 International Conference on Intelligent Computation Technology and Automation (ICICTA). IEEE, 2010. http://dx.doi.org/10.1109/icicta.2010.188.

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Wang, Fengxiao. "Interval-valued intuitionistic fuzzy (1,2)-ideals of semigroups." In 2022 International Conference on Applied Statistics, Computational Mathematics and Software Engineering (ASCMSE 2022),, edited by Steven Guan and Haibin Zhu. SPIE, 2022. http://dx.doi.org/10.1117/12.2648951.

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Jansi Rani, M. Mary, A. Mubina Nancy, and J. Shalini. "N-generated T-intuitionistic fuzzy ideals of BG-algebras." In PROCEEDINGS OF INTERNATIONAL CONFERENCE ON ADVANCES IN MATERIALS RESEARCH (ICAMR - 2019). AIP Publishing, 2020. http://dx.doi.org/10.1063/5.0017181.

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Jeyanthi, S., C. Ragavan та B. Lena. "Qγ,δ(Pα,β) over antagonistic intuitionistic fuzzy sub implicatory ideals and antagonistic intuitionistic fuzzy sub commutative ideals of subtraction G-algebra". У RECENT TRENDS IN PURE AND APPLIED MATHEMATICS. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5135203.

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Chen, Wenjuan. "Intuitionistic Fuzzy Lie Sub-superalgebras and Ideals of Lie Superalgebras." In 2009 International Joint Conference on Computational Sciences and Optimization, CSO. IEEE, 2009. http://dx.doi.org/10.1109/cso.2009.399.

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Mostafa, S. M., F. F. Kareem та Reyadh Delfi Ali. "Bipolar intuitionistic (𝕴, 𝓛)-fuzzy medial-ideals(bi-intstic (𝕴, 𝓛) fuzzy Med-I)". У INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING ICCMSE 2021. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0114838.

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Jeyanthi, S., C. Ragavan та B. Lena. "Fα,β over Cartesian product of antagonistic- intuitionistic fuzzy H-ideals in division BG-algebras". У RECENT TRENDS IN PURE AND APPLIED MATHEMATICS. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5135202.

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Journal articles
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