Relevant bibliographies by topics / NKM-Structure of Fuzzy KM-algebras

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Academic literature on the topic 'NKM-Structure of Fuzzy KM-algebras'

Author: Grafiati
Published: 5 June 2025
Last updated: 2 August 2025

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Journal articles on the topic "NKM-Structure of Fuzzy KM-algebras"

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K, Kalaiarasi, and Manimozhi V. "Negative Valued Ideals of Fuzzy KM-Subalgebras." Indian Journal of Science and Technology 16, no. 12 (2023): 872–83. https://doi.org/10.17485/IJST/v16i12.1093.

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Abstract <strong>Objectives:</strong>&nbsp;A new notion of logical algebra named KM-algebras was introduced in 2019. KM-algebra is a generalization of some of the B-algebras, such as BCK, BCI, BCH, BE, BV-algebras, and d-algebras. Also, by fuzzification of KM-algebras, many exciting results have been analyzed. Now feel obligated to endure dreadful knowledge since no negative interpretation of information is provided. We believe it is also critical to provide mathematical tools to do this. To do this, we develop and utilize a new negative-valued function.&nbsp;<strong>Methods:</strong>&nbsp;An
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Al-Masarwah, Anas, та Abd Ghafur Ahmad. "m-Polar ( α , β ) -Fuzzy Ideals in BCK/BCI-Algebras". Symmetry 11, № 1 (2019): 44. http://dx.doi.org/10.3390/sym11010044.

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Multi-polar vagueness in data plays a prominent role in several areas of the sciences. In recent years, the thought of m-polar fuzzy sets has captured the attention of numerous analysts, and research in this area has escalated in the past four years. Hybrid models of fuzzy sets have already been applied to many algebraic structures, such as B C K / B C I -algebras, lie algebras, groups, and symmetric groups. A symmetry of the algebraic structure, mathematically an automorphism, is a mapping of the algebraic structure onto itself that preserves the structure. This paper focuses on combining the
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Rajesh, Neelamegarajan, Tahsin Oner, Aiyared Iampan, and Akbar Rezaei. "Investigating Length and Mean-Fuzzy Subalgebras in Sheffer Stroke Hilbert Algebras." European Journal of Pure and Applied Mathematics 18, no. 2 (2025): 5914. https://doi.org/10.29020/nybg.ejpam.v18i2.5914.

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The aim of this paper is to introduce the notions of the length and the mean of an interval-valued fuzzy structure in Sheffer stroke Hilbert algebras. The notions of length-fuzzy subalgebras and mean-fuzzy subalgebras of Sheffer stroke Hilbert algebras are introduced, and related properties are investigated. Characterizations of length-fuzzy subalgebras and mean-fuzzy subalgebras are discussed. Relations between length-fuzzy subalgebras (resp., mean-fuzzy subalgebras) and subalgebras are established. Moreover, we discuss the relationships among length-fuzzy subalgebras (resp., mean-fuzzy subal
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Elnair, Mohamed. "More Results on Intuitionistic Fuzzy Ideals of BE-algebras." European Journal of Pure and Applied Mathematics 17, no. 1 (2024): 426–34. http://dx.doi.org/10.29020/nybg.ejpam.v17i1.5030.

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This paper explores the intuitionistic fuzzy ideals in BE-algebras and establishes several new results related to their structure. We investigate the fundamental concepts and properties of intuitionistic fuzzy ideals and provide characterizations of an intuitionistic fuzzy ideal in BE-algebras. Our study focuses on examining the fundamental concepts and properties of these ideals and provides characterizations of intuitionistic fuzzy ideals in BE-algebras.
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Gelaw, Selamawit Hunie, Birhanu Assaye Alaba, and Mihret Alamneh Taye. "Q-fuzzy structure on JU-algebra." F1000Research 14 (January 20, 2025): 109. https://doi.org/10.12688/f1000research.160333.1.

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Background JU-algebras, an important class in abstract algebra, are extended here by incorporating fuzzy set theory to handle uncertainty in algebraic structures. In this study, we apply the concept of Q-fuzzy sets to JU-subalgebras and JU-ideals in JU-algebra. Method The study defines Q-fuzzy JU-subalgebras and Q-fuzzy JU-ideals as subsets of a JU-algebra. It also explores lower and upper level subsets of these fuzzy structures to analyze their properties. Additionally, the concepts of Doubt and Normal Q-fuzzy JU-subalgebras and Q-fuzzy JU-ideals are introduced, offering a way to deal with va
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Ramesh, T., M. Balamurugan, and Aiyared Iampan. "Complex Intuitionistic Fuzzy Quasi-Associative Ideals of BCI-algebras." European Journal of Pure and Applied Mathematics 18, no. 3 (2025): 6331. https://doi.org/10.29020/nybg.ejpam.v18i3.6331.

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This paper explores the application of complex intuitionistic fuzzy sets to the study of quasi-associative ideals in BCI-algebras. We introduce a new concept—complex intuitionistic fuzzy quasi-associative ideals in BCI-algebras—and analyze their fundamental properties. The relationships between complex intuitionistic fuzzy ideals and complex intuitionistic fuzzy quasi-associative ideals are investigated in detail. Furthermore, we present key characterizations of these quasi-associative ideals, providing deeper insights into their structure and role within BCI-algebraic systems. Finally, we pro
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Močkoř, Jiří, Petr Hurtik, and David Hýnar. "Rough Semiring-Valued Fuzzy Sets with Application." Mathematics 10, no. 13 (2022): 2274. http://dx.doi.org/10.3390/math10132274.

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Many of the new fuzzy structures with complete MV-algebras as value sets, such as hesitant, intuitionistic, neutrosophic, or fuzzy soft sets, can be transformed into one type of fuzzy set with values in special complete algebras, called AMV-algebras. The category of complete AMV-algebras is isomorphic to the category of special pairs (R,R*) of complete commutative semirings and the corresponding fuzzy sets are called (R,R*)-fuzzy sets. We use this theory to define (R,R*)-fuzzy relations, lower and upper approximations of (R,R*)-fuzzy sets by (R,R*)-relations, and rough (R,R*)-fuzzy sets, and w
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Takallo, Mohammad Mohseni, Sun Shin Ahn, Rajab Ali Borzooei, and Young Bae Jun. "Multipolar Fuzzy p-Ideals of BCI-Algebras." Mathematics 7, no. 11 (2019): 1094. http://dx.doi.org/10.3390/math7111094.

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The notion of (normal) m-polar ( ∈ , ∈ ) -fuzzy p-ideals of BCI-algebras is introduced, and several properties are investigated. Relations between an m-polar ( ∈ , ∈ ) -fuzzy ideal and an m-polar ( ∈ , ∈ ) -fuzzy p-ideal are displayed, and conditions for an m-polar ( ∈ , ∈ ) -fuzzy ideal to be an m-polar ( ∈ , ∈ ) -fuzzy p-ideal are provided. Characterization of m-polar ( ∈ , ∈ ) -fuzzy p-ideals are considered. Given an m-polar ( ∈ , ∈ ) -fuzzy ideal (resp., m-polar ( ∈ , ∈ ) -fuzzy p-ideal), a normal m-polar ( ∈ , ∈ ) -fuzzy ideal (resp., normal m-polar ( ∈ , ∈ ) -fuzzy p-ideal) is establishe
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Melaku, Alemayehu Girum, Berhanu Assaye Alaba, Bekalu Tarekegn Bitew, and Beza Lamesgin Derseh. "Fuzzy Pseudo-ideal in Pseudo-TM Alegbra." F1000Research 13 (December 4, 2024): 1476. https://doi.org/10.12688/f1000research.158546.1.

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Background Fuzzy sets and ideals play a significant role in the study of algebraic structures, particularly in the context of pseudo-TM algebras, which are non-commutative generalizations of MV-algebras. However, the concept of fuzzy pseudo-ideals within these algebras has not been extensively explored. This paper introduces fuzzy pseudo-ideals in pseudo-TM algebras and investigates their key properties, contributing to the broader understanding of fuzzy algebraic structures. Methods We define fuzzy pseudo-ideals in the framework of pseudo-TM algebras and investigate their properties using lev
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Belluce, L. P. "Semisimple Algebras of Infinite Valued Logic and Bold Fuzzy Set Theory." Canadian Journal of Mathematics 38, no. 6 (1986): 1356–79. http://dx.doi.org/10.4153/cjm-1986-069-0.

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In classical two-valued logic there is a three way relationship among formal systems, Boolean algebras and set theory. In the case of infinite-valued logic we have a similar relationship among formal systems, MV-algebras and what is called Bold fuzzy set theory. The relationship, in the latter case, between formal systems and MV-algebras has been known for many years while the relationship between MV-algebras and fuzzy set theory has hardly been studied. This is not surprising. MV-algebras were invented by C. C. Chang [1] in order to provide an algebraic proof of the completeness theorem of th
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Book chapters on the topic "NKM-Structure of Fuzzy KM-algebras"

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Senapati, Tapan, and Guiyun Chen. "Bipolar Fuzzy Structure of H-Ideals in BCI-Algebras." 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.ch011.

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In this chapter, the concepts of bipolar fuzzy H-ideals of BCI-algebras are introduced and their natures are investigated. Relations between bipolar fuzzy subalgebras, bipolar fuzzy ideals, and bipolar fuzzy H-ideals are discussed. Conditions for a bipolar fuzzy ideal to be a bipolar fuzzy H-ideal are provided. Some characterization theorems of bipolar fuzzy H-ideals are established. A bipolar fuzzy H-ideal is established by using a finite collection of H-ideals. The authors have shown that if every bipolar fuzzy H-ideal has the finite image, then every descending chain of H-ideals terminates
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Schneider, Markus. "Soft Computing Techniques in Spatial Databases." In Soft Computing Applications for Database Technologies. IGI Global, 2010. http://dx.doi.org/10.4018/978-1-60566-814-7.ch004.

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Spatial database systems and geographical information systems are currently only able to support geographical applications that deal with only crisp spatial objects, that is, objects whose extent, shape, and boundary are precisely determined. Examples are land parcels, school districts, and state territories. However, many new, emerging applications are interested in modeling and processing geographic data that are inherently characterized by spatial vagueness or spatial indeterminacy. Examples are air polluted areas, temperature zones, and lakes. These applications require novel concepts due
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Zhou, Hanqi, Yanqin Dong, Xinyang Li, Xin Cong, and Bing Liu. "Derivation Algebras of Restricted Hom-Lie Triple Systems." In Fuzzy Systems and Data Mining IX. IOS Press, 2023. http://dx.doi.org/10.3233/faia231057.

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In this paper, we investigate the properties of derivations of restricted Hom-Lie triple systems. By giving the concepts of derivations, generalized derivations, centroids and Hom-p-subsystems, we obtain some good results on generalized derivation algebras and their subalgebras, which including the subspace ℧ satisfying some conditions in the linear transformation End(L) is a restricted Hom-Lie triple system, the generalized derivation is a Hom-p-subsystem of ℧ and the central derivation is the intersection of the centroid and the derivation. The novelty of this paper is to discuss the derivat
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