Relevant bibliographies by topics / Intuitionistic Fuzzy Metric Space

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  2. Dissertations / Theses
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Academic literature on the topic 'Intuitionistic Fuzzy Metric Space'

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

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Journal articles on the topic "Intuitionistic Fuzzy Metric Space"

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Kargın, Abdullah. "Intuitionistic Fuzzy Partial Metric Spaces." Adıyaman University Journal of Science 15, no. 1 (2025): 77–97. https://doi.org/10.37094/adyujsci.1635359.

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Fuzzy logic is a theory that is used as an alternative to classical structures in both application and algebraic fields. The fixed point theorem is a theorem widely used in mathematics, especially in metric spaces and partial metric spaces. The fixed point theorem is used on classical metric structures, but it is also widely used on fuzzy metric spaces, fuzzy partial metric spaces and intuitionistic fuzzy metric spaces. In this paper, intuitionistic fuzzy partial metric spaces are defined, their basic properties and examples are obtained. For it, open ball, convergent sequence, and Cauchy sequ
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Ishtiaq, Umar, Doha A. Kattan, Khaleel Ahmad, Tania A. Lazăr, Vasile L. Lazăr, and Liliana Guran. "On Intuitionistic Fuzzy Nb Metric Space and Related Fixed Point Results with Application to Nonlinear Fractional Differential Equations." Fractal and Fractional 7, no. 7 (2023): 529. http://dx.doi.org/10.3390/fractalfract7070529.

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This manuscript contains several new notions including intuitionistic fuzzy Nb metric space, intuitionistic fuzzy quasi-Sb-metric space, intuitionistic fuzzy pseudo-Sb-metric space, intuitionistic fuzzy quasi-N-metric space and intuitionistic fuzzy pseudo Nb fuzzy metric space. We prove decomposition theorem and fixed-point results in the setting of intuitionistic fuzzy pseudo Nb fuzzy metric space. Further, we provide several non-trivial examples to show the validity of introduced notions and results. At the end, we solve an integral equation, system of linear equations and nonlinear fraction
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Onbaşıoğlu, Şuara, and Banu Pazar Varol. "Intuitionistic Fuzzy Metric-like Spaces and Fixed-Point Results." Mathematics 11, no. 8 (2023): 1902. http://dx.doi.org/10.3390/math11081902.

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The objective of this paper is to describe the concept of intuitionistic fuzzy metric-like spaces. This space is an extension of metric-like spaces and fuzzy metric spaces, and intuitionistic fuzzy metric spaces. We discuss convergence sequences, contractive mapping and some fixed-point theorems in intuitionistic fuzzy metric-like space. We also give explanations, examples and counterexamples to validate the superiority of these results. Our results provide a substantial extension of several important results from fuzzy metric-like spaces.
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Altanji, Mohamed, Annamalai Santhi, Vediyappan Govindan, Shyam Sundar Santra, and Samad Noeiaghdam. "Fixed-Point Results Related to b-Intuitionistic Fuzzy Metric Space." Journal of Function Spaces 2022 (May 12, 2022): 1–15. http://dx.doi.org/10.1155/2022/9561906.

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In this study, we contribute to the terminological debate about various fixed-point results’ use of the term intuitionistic fuzzy b-metric space in defining the structure based on fuzzy sets. As a predominant result, we give an adequate condition for a sequence to be Cauchy in the intuitionistic fuzzy b-metric space. Subsequently, we simplify the proofs of manifold fixed-point theorems in the intuitionistic fuzzy b-metric spaces under the prominent contraction conditions. Also, we give a satisfactory condition for a solution to Cauchy in the intuitionistic fuzzy b-metric spaces.
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Lohani, Q. M. Danish. "Intuitionistic Fuzzy 2-Metric Space and Some Topological Properties." International Journal of Artificial Life Research 2, no. 3 (2011): 59–73. http://dx.doi.org/10.4018/jalr.2011070107.

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The notion of intuitionistic fuzzy metric space was introduced by Park (2004) and the concept of intuitionistic fuzzy normed space by Saadati and Park (2006). Recently Mursaleen and Lohani introduced the concept of intuitionistic fuzzy 2-metric space (2009) and intuitionistic fuzzy 2-norm space. This paper studies precompactness and metrizability in this new setup of intuitionistic fuzzy 2-metric space.
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Hussain, Aftab, Hamed Al Sulami, and Umar Ishtiaq. "Some New Aspects in the Intuitionistic Fuzzy and Neutrosophic Fixed Point Theory." Journal of Function Spaces 2022 (March 3, 2022): 1–14. http://dx.doi.org/10.1155/2022/3138740.

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In this manuscript, we use the concepts of continuous t-norms and continuous t-conorms to introduce some definitions, in which intuitionistic fuzzy rectangular metric spaces, intuitionistic fuzzy rectangular metric-like spaces, intuitionistic fuzzy rectangular b-metric spaces, intuitionistic fuzzy rectangular b-metric-like spaces, neutrosophic rectangular metric spaces, neutrosophic rectangular metric-like spaces, neutrosophic rectangular b-metric spaces, and neutrosophic rectangular b-metric-like spaces are included. Continuous t-norms and continuous t-conorms are used to generalize the proba
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Ishtiaq, Umar, Salha Alshaikey, Muhammad Bilal Riaz, and Khaleel Ahmad. "Fixed point results in intuitionistic fuzzy pentagonal controlled metric spaces with applications to dynamic market equilibrium and satellite web coupling." PLOS ONE 19, no. 8 (2024): e0303141. http://dx.doi.org/10.1371/journal.pone.0303141.

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This manuscript contains several new spaces as the generalizations of fuzzy triple controlled metric space, fuzzy controlled hexagonal metric space, fuzzy pentagonal controlled metric space and intuitionistic fuzzy double controlled metric space. We prove the Banach fixed point theorem in the context of intuitionistic fuzzy pentagonal controlled metric space, which generalizes the previous ones in the existing literature. Further, we provide several non-trivial examples to support the main results. The capacity of intuitionistic fuzzy pentagonal controlled metric spaces to model hesitation, ca
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Wong, Koon Sang, Zabidin Salleh, and Habibulla Akhadkulov. "Exploring Fixed Points and Common Fixed Points of Contractive Mappings in Complex-Valued Intuitionistic Fuzzy Metric Spaces." International Journal of Analysis and Applications 22 (May 27, 2024): 91. http://dx.doi.org/10.28924/2291-8639-22-2024-91.

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The current manuscript aims to introduce complex-valued intuitionisitic fuzzy metric spaces as a fresh perspective on complex-valued fuzzy metric spaces and intuitionistic fuzzy metric spaces. Existence together with distinctiveness of the fixed points within maps with diverse contractive criteria in this novel space are established. Additionally, our work yields a few common fixed-point findings for intuitionistic fuzzy Banach contraction on this newly introduced space. The outcomes presented in this study go beyond the existing literature, adding to the growing body of knowledge in this fiel
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Uddin, Fahim, Umar Ishtiaq, Khalil Javed, et al. "A New Extension to the Intuitionistic Fuzzy Metric-like Spaces." Symmetry 14, no. 7 (2022): 1400. http://dx.doi.org/10.3390/sym14071400.

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In this manuscript, we introduce the concept of intuitionistic fuzzy controlled metric-like spaces via continuous t-norms and continuous t-conorms. This new metric space is an extension to intuitionistic fuzzy controlled metric-like spaces, controlled metric-like spaces and controlled fuzzy metric spaces, and intuitionistic fuzzy metric spaces. We prove some fixed-point theorems and we present non-trivial examples to illustrate our results. We used different techniques based on the properties of the considered spaces notably the symmetry of the metric. Moreover, we present an application to no
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Khan, Vakeel, and Rahaman Ashadul. "Statistical convergence in intuitionistic fuzzy G-metric spaces with order n." Filomat 38, no. 8 (2024): 2785–812. https://doi.org/10.2298/fil2408785k.

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Mohiudddine and Alotaibi [25] introduced the notion of intuitionistic generalized fuzzy metric space to extend the generalized fuzzy metric space. Choi et al.[Structure for 1-Metric Spaces and Related Fixed Point Theorems, arXiv preprint arXiv:1804.03651, (2018)] has recently proposed the notion of 1-metric as a generalized notion of the distance function. Employing the idea in this paper, we first put forth the notion of Intuitionistic fuzzy G-metric space with order n as a generalization of intuitionistic fuzzy metric space. We describe some properties of this novel space and construct examp
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Dissertations / Theses on the topic "Intuitionistic Fuzzy Metric Space"

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Miñana, Prats Juan José. "Fuzzy metric spaces and applications to perceptual colour-differences." Doctoral thesis, Universitat Politècnica de València, 2015. http://hdl.handle.net/10251/50612.

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[EN] Fuzzy mathematics has constituted a wide field of research, since L. A. Zadeh introduced in 1965 the concept of fuzzy set. In particular, the problem of constructing a satisfactory theory of fuzzy metric spaces has been investigated by several authors. In 1994, George and Veeramani introduced and studied a notion of fuzzy metric space that constituted a modification of the one given by Kramosil and Michalek. Several authors have contributed to the study of this kind of fuzzy metrics, from the mathematical point of view and for their applications. In this thesis we have contributed to deve
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RICARTE, MORENO LUIS-ALBERTO. "Topological and Computational Models for Fuzzy Metric Spaces via Domain Theory." Doctoral thesis, Universitat Politècnica de València, 2013. http://hdl.handle.net/10251/34670.

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This doctoral thesis is devoted to investigate the problem of establishing connections between Domain Theory and the theory of fuzzy metric spaces, in the sense of Kramosil and Michalek, by means of the notion of a formal ball, and then constructing topological and computational models for (complete) fuzzy metric spaces. The antecedents of this research are mainly the well-known articles of A. Edalat and R. Heckmann [A computational model for metric spaces, Theoret- ical Computer Science 193 (1998), 53-73], and R. Heckmann [Approximation of metric spaces by partial metric spaces, Appli
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Abbas, Mujahid. "Soft Set Theory: Generalizations, Fixed Point Theorems, and Applications." Doctoral thesis, Universitat Politècnica de València, 2015. http://hdl.handle.net/10251/48470.

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Mathematical models have extensively been used in problems related to engineering, computer sciences, economics, social, natural and medical sciences etc. It has become very common to use mathematical tools to solve, study the behavior and different aspects of a system and its different subsystems. Because of various uncertainties arising in real world situations, methods of classical mathematics may not be successfully applied to solve them. Thus, new mathematical theories such as probability theory and fuzzy set theory have been introduced by mathematicians and computer scientists to
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Danijela, Karaklić. "Prostori sa fazi rastojanjem i primena u obradi slike." Phd thesis, Univerzitet u Novom Sadu, Fakultet tehničkih nauka u Novom Sadu, 2019. https://www.cris.uns.ac.rs/record.jsf?recordId=110710&source=NDLTD&language=en.

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Merenje kvaliteta slike korišćenjem indeksa za kvalitet slike, ne mora da odražava i praktični kvalitet slike, odnosno nije baziran na HVS (Human visual system) modelu. Formiranje razmatranih funkcija, koje se koriste u algoritmu filtriranja za određivanje rastojanja među pikselima, može se vršiti  na različite načine, što se može videti u radovima iz oblasti filtriranja slike, daje širok spektar mogućnosti da se ispita uticaj fazi rastojanja npr. fazi T-metrike ili fazi Ѕ-metrike mogu imati na sam proces filtriranja slike. Cilj je poboljšanje kvaliteta slike u odnosu na medijanski filter
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Tatjana, Žikić. "Egzistencija nepokretne tačke u fazi strukturama." Phd thesis, Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu, 2002. https://www.cris.uns.ac.rs/record.jsf?recordId=73363&source=NDLTD&language=en.

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U ovoj tezi dokazane su teoreme o nepokretnoj tački koje predstavljaju jednoznačna i višeznačna uopštenja Banahovog prin­cipa kontrakcije u verovatnosnim metričkim i fazi metričkim pros­torima. Dokazana je teorema koja predstavlja uopštenje teoreme o nepokretnoj tački za verovatnosnu ^-kontrakciju / :  S —* S,gde je  ( S ,  J7, T ) kompletan Mengerov prostor. Uveden je pojam jake (6n)-kontrakcije i dokazana je teorema koja predstavlja uopštenje teoreme Sehgala i Bharuche-Reid kada je preslikavanje / :  S —> S jaka (6n)-kont
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Aphane, Maggie. "On some results of analysis in metric spaces and fuzzy metric spaces." Diss., 2009. http://hdl.handle.net/10500/3224.

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The notion of a fuzzy metric space due to George and Veeramani has many advantages in analysis since many notions and results from classical metric space theory can be extended and generalized to the setting of fuzzy metric spaces, for instance: the notion of completeness, completion of spaces as well as extension of maps. The layout of the dissertation is as follows: Chapter 1 provide the necessary background in the context of metric spaces, while chapter 2 presents some concepts and results from classical metric spaces in the setting of fuzzy metric spaces. In chapter 3 we continue wi
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Book chapters on the topic "Intuitionistic Fuzzy Metric Space"

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El Hassnaoui, M., Said Melliani, and L. S. Chadli. "Convergence on Intuitionistic Fuzzy Metric Space." In Recent Advances in Intuitionistic Fuzzy Logic Systems. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-02155-9_18.

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Melliani, Said, A. Moussaoui, and L. S. Chadli. "Fixed Point Theory, Contractive Mapping, Fuzzy Metric Space." In Recent Advances in Intuitionistic Fuzzy Logic Systems. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-02155-9_21.

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Konwar, Nabanita. "Common Fixed Point Theorems and Applications in Intuitionistic Fuzzy Cone Metric Spaces." In Metric Fixed Point Theory. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-4896-0_3.

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Saini, R. K., Vishal Gupta, Ashima Kanwar, and Jonty Jindal. "Biased Maps in Modified Intuitionistic Fuzzy Metric Space and Common Fixed Point Results." In Advances in Intelligent Systems and Computing. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-0751-9_55.

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Konwar, Nabanita. "Some New Fixed Point Results in Archimedean Type Intuitionistic Fuzzy b-Metric Space." In Advanced Mathematical Analysis and its Applications. Chapman and Hall/CRC, 2023. http://dx.doi.org/10.1201/9781003388678-4.

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Dhawan, Pooja, and Akshu Grewal. "Some Novel Fixed Point Findings in Intuitionistic Fuzzy b-Metric Spaces." In Intelligent Systems Design and Applications. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-64847-2_2.

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Park, Jong Seo, Young Chel Kwun, and Jin Han Park. "Some Results and Example for Compatible Maps of Type(β) on Intuitionistic Fuzzy Metric Space." In Advances in Intelligent and Soft Computing. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-03664-4_69.

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Melliani, Said, M. Elomari, and L. S. Chadli. "Intuitioinistic Fuzzy Hilbert Space." In Recent Advances in Intuitionistic Fuzzy Logic Systems. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-02155-9_12.

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Uthayakumar, R., and A. Gowrisankar. "Fractals in Product Fuzzy Metric Space." In Fractals, Wavelets, and their Applications. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-08105-2_9.

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Zhang, QianSheng, and ShiHua Luo. "Intuitionistic Fuzzy Reasoning under Quotient Space Structure." In Lecture Notes in Electrical Engineering. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-27287-5_38.

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Conference papers on the topic "Intuitionistic Fuzzy Metric Space"

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Muteer, Hanin Hameed, and Mohammed J. Mohammed Al-Musafir. "On intuitionistic fuzzy rectangular b-metric space and intuitionistic fuzzy rectangular b-normed space." In INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING ICCMSE 2021. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0134712.

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Arora, Sahil, and Tanuj Kumar. "ST-intuitionistic fuzzy metric space with properties." In RECENT ADVANCES IN FUNDAMENTAL AND APPLIED SCIENCES: RAFAS2016. Author(s), 2017. http://dx.doi.org/10.1063/1.4990349.

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Malleswari, V. Siva Naga, and Dr V. Amarendra Babu. "Intuitionistic fuzzy soft metric spaces." In INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS (ICMSA-2019). AIP Publishing, 2020. http://dx.doi.org/10.1063/5.0014430.

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Park, Jong Seo, Young Chel Kwun, and Jin Han Park. "Some Properties and Baire Space on Intuitionistic Fuzzy Metric Space." In 2009 Sixth International Conference on Fuzzy Systems and Knowledge Discovery. IEEE, 2009. http://dx.doi.org/10.1109/fskd.2009.662.

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Castro-Company, Francisco, and Pedro Tirado. "The bicompletion of intuitionistic fuzzy quasi-metric spaces." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756271.

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Kiran, Quanita, and Hajira Khatoon. "Kannan’s and Chatterjee’s type fixed point theorems in intuitionistic fuzzy metric space." In CENTRAL EUROPEAN SYMPOSIUM ON THERMOPHYSICS 2019 (CEST). AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5114175.

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Edan, Alaa J., and Sameer Q. Hasan. "A common fixed-point theorem on intuitionistic fuzzy QUASI 2-metric space." In INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING ICCMSE 2021. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0135379.

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Yang, Weixu, Zhenhua Jiao, Zhifeng Zhang, and Conghao Jin. "A Common Fixed Point Theorem in Intuitionistic Fuzzy Metric Spaces." In 2012 5th International Workshop on Chaos-Fractals Theories and Applications (IWCFTA). IEEE, 2012. http://dx.doi.org/10.1109/iwcfta.2012.10.

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Kadhm, Kadhm E., Shuker M. Khalil, and Noor A. Hussein. "Some results on intuitionistic E-algebra fuzzy metric like spaces." In International Conference on Medical Imaging, Electronic Imaging, Information Technologies, and Sensors (MIEITS 2024), edited by Jyoti Jaiswal. SPIE, 2024. http://dx.doi.org/10.1117/12.3030816.

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Marinov, Evgeniy, Peter Vassilev, and Krassimir Atanassov. "On Intuitionistic Fuzzy Metric Neighbourhoods." In 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology (IFSA-EUSFLAT-15). Atlantis Press, 2015. http://dx.doi.org/10.2991/ifsa-eusflat-15.2015.226.

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