Autors: Atanassov K.T., Tsvetkov, R. T.
Title: New intuitionistic fuzzy operations, operators and topological structures
Keywords: Intuitionistic fuzzy operation; intuitionistic fuzzy operato

Abstract: Two new intuitionistic fuzzy operations (union and intersection) are defined. Based on them, two new topological operators (of a closure and of an interior types) are introduced. Some properties of these obects are studied. Based on them, four new intuitionistic fuzzy topological structures are introduced and some of their properties are discussed. Integral forms of both new intuitionistic fuzzy operations and of both intuitionistic fuzzy operators are given. © 2023, University of Sistan and Baluchestan. All rights reserved.

References

    Issue

    , 2023, Iran,

    Цитирания (Citation/s):
    1. Power Geometric Operations of Trapezoidal Atanassov’s Intuitionistic Fuzzy Numbers Based on Strict t-Norms and t-Conorms and Its Application to Multiple Attribute Group Decision Making. (2024) International Journal of Fuzzy Systems, 26 (1), pp. 239-259. - 2024 - в издания, индексирани в Scopus и/или Web of Science
    2. Abu_Shugair M.N., Abdallah A.A., Alzoubi M., Abbas S.E., Ibedou I., Picture fuzzy multifunctions and modal topological structures, 2025, AIMS Mathematics, issue 3, vol. 10, pp. 7430-7448, DOI 10.3934/math.2025341, eissn 24736988 - 2025 - в издания, индексирани в Scopus
    3. Shi D., Abu-Shugair M.N., Abbas S.E., Ibedou I., Picture Fuzzy Modal Ideal Multifunctions, 2025, European Journal of Pure and Applied Mathematics, issue 2, vol. 18, DOI 10.29020/nybg.ejpam.v18i2.5956, eissn 13075543 - 2025 - в издания, индексирани в Scopus
    4. Preethi N., Revathi G.K., A view on Pythagorean fuzzy digital feeble topological spaces, nets and prefilters, 2025, Journal of Interdisciplinary Mathematics, issue 4, vol. 28, pp. 1607-1622, DOI 10.47974/JIM-2155, issn 09720502 - 2025 - в издания, индексирани в Scopus
    5. Shi D.L., Abu Shugair M.N., Abbas S.E., Ibedou I., Temporal topological operators with picture fuzzy multifunctions, 2025, Aims Mathematics, issue 7, vol. 10, pp. 16477-16497, DOI 10.3934/math.2025738, eissn 24736988 - 2025 - в издания, индексирани в Scopus
    6. Ning B., Multiple attribute group decision-making using p, q-quasirung orthopair fuzzy credibility sets: Application to data literacy evaluation of scientific researchers, 2025, Engineering Applications of Artificial Intelligence, issue 0, vol. 160, DOI 10.1016/j.engappai.2025.111923, issn 09521976 - 2025 - в издания, индексирани в Scopus
    7. Shi D., Abu_Shugair M.N., Abbas S.E., Ibedou I., Multifunctions Between Temporal Picture Fuzzy Ideal Structures, 2025, European Journal of Pure and Applied Mathematics, issue 3, vol. 18, DOI 10.29020/nybg.ejpam.v18i3.6155, eissn 13075543 - 2025 - в издания, индексирани в Scopus

    Вид: статия в списание, публикация в реферирано издание, индексирана в Scopus