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Journal articles on the topic 'M fuzzy sets'

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Published: 3 June 2025

Last updated: 31 July 2025

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1

Min, Won-Keun, and Chun-Kee Park. "On Fuzzy M-Sets and Fuzzy M-Continuity." International Journal of Fuzzy Logic and Intelligent Systems 5, no. 1 (2005): 59–63. http://dx.doi.org/10.5391/ijfis.2005.5.1.059.

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2

DEMİRCİ, MUSTAFA. "GENUINE SETS, VARIOUS KINDS OF FUZZY SETS AND FUZZY ROUGH SETS." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 11, no. 04 (2003): 467–94. http://dx.doi.org/10.1142/s0218488503002193.

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In this paper, deriving the type-m fuzzy sets, intuitionistic fuzzy sets, Φ-fuzzy sets, rough sets, fuzzy rough sets and rough fuzzy sets as particular genuine sets, and establishing their connections with genuine sets, it is demonstrated that the theory of genuine sets provides a powerful tool to model various different kinds of uncertainty in a mathematical way. Furthermore, it is also shown that the genuine set theoretic descriptions of type-m fuzzy sets, intuitionistic fuzzy sets and fuzzy rough sets point out new features of these set notations, originated from the peculiar characteristic

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3

Chen, Juanjuan, Shenggang Li, Shengquan Ma, and Xueping Wang. "m-Polar Fuzzy Sets: An Extension of Bipolar Fuzzy Sets." Scientific World Journal 2014 (2014): 1–8. http://dx.doi.org/10.1155/2014/416530.

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Recently, bipolar fuzzy sets have been studied and applied a bit enthusiastically and a bit increasingly. In this paper we prove that bipolar fuzzy sets and0,12-sets (which have been deeply studied) are actually cryptomorphic mathematical notions. Since researches or modelings on real world problems often involve multi-agent, multi-attribute, multi-object, multi-index, multi-polar information, uncertainty, or/and limit process, we put forward (or highlight) the notion ofm-polar fuzzy set (actually,0,1m-set which can be seen as a generalization of bipolar fuzzy set, wheremis an arbitrary ordina

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4

Burgin, Mark, and Vladimir Kuznetsov. "Fuzzy sets as named sets." Fuzzy Sets and Systems 46, no. 2 (1992): 189–92. http://dx.doi.org/10.1016/0165-0114(92)90131-m.

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5

Fatimah, M. Mohammed, and F. Matar Shaymaa. "Fuzzy Neutrosophic Alpha m-Closed Sets in Fuzzy Neutrosophic Topological Spaces." Neutrosophic Sets and Systems 21 / 2018 (September 4, 2018): 56–65. https://doi.org/10.5281/zenodo.1408677.

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In this paper, we state a new class of sets and called them fuzzy neutrosophic Alpha m-closed sets, and we prove some theorem related to this definition. Then, we investigate the relation between fuzzy neutrosophic Alpha m-closed sets, fuzzy neutrosophic α closed sets, fuzzy neutrosophic closed sets, fuzzy neutrosophic semi closed sets and fuzzy neutrosophic pre closed sets. On the other hand, some properties of the fuzzy neutrosophic Alpha m-closed set are given.

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6

Alimohammady, M., and M. Roohi. "Fuzzy UmUm-sets and fuzzy (U,m)(U,m)-continuous functions." Chaos, Solitons & Fractals 28, no. 1 (2006): 20–25. http://dx.doi.org/10.1016/j.chaos.2005.05.045.

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7

Min, Won-Keun, Myeong-Hwan Kim, and Jung-Il Kim. "INTERVAL-VALUED FUZZY m-SEMIOPEN SETS AND INTERVAL-VALUED FUZZY m-PREOPEN SETS ON INTERVAL-VALUED FUZZY MINIMAL SPACES." Honam Mathematical Journal 31, no. 1 (2009): 31–43. http://dx.doi.org/10.5831/hmj.2009.31.1.031.

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8

Sayed, Osama, El-Sayed El-Sanousy, and Yaser Sayed. "On (L,M)-fuzzy convex structures." Filomat 33, no. 13 (2019): 4151–63. http://dx.doi.org/10.2298/fil1913151s.

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This paper defines a new class of L-fuzzy sets called r-L-fuzzy biconvex sets in (L,M)-fuzzy convex structures (X,C), where C is an (L,M)-fuzzy convexity on X, and some of their properties were studied. In addition, weintroduce (L,M)-fuzzy topological convexity space and study some of its properties. Finally, we introduce locally (L,M)-fuzzy topology (L,M)-fuzzy convexity space and study some of its properties.

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9

Vadivel, A., V. Kalaiyarasan, S. Tamilselvan, and C. John Sundar. "Some New Operators Using Fuzzy Nano $ M $-Open Sets." Proyecciones (Antofagasta) 44, no. 2 (2025): 294–309. https://doi.org/10.22199/issn.0717-6279-5393.

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In this paper, we introduce some new operators called fuzzy nano M frontier, fuzzy nano M border and fuzzy nano M exterior with the help of fuzzy nano M-open sets in fuzzy nano topological space. Also, we discuss the important properties of them and the relations between them.

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10

Kim, J. "Commutative fuzzy sets and nilpotent fuzzy groups." Information Sciences 83, no. 3-4 (1995): 161–74. http://dx.doi.org/10.1016/0020-0255(94)00082-m.

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11

Giri, Purbasha. "A Study on m-polar Fuzzy Sets and m-polar Fuzzy Matrix." International Journal of Fuzzy Mathematical Archive 19, no. 01 (2021): 61–80. http://dx.doi.org/10.22457/ijfma.v19n1a05227.

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12

Bashir, Shahida, Mohammed M. Ali Al-Shamiri, Shahzeen Khalid, and Rabia Mazhar. "Regular and Intra-Regular Ternary Semirings in Terms of m-Polar Fuzzy Ideals." Symmetry 15, no. 3 (2023): 591. http://dx.doi.org/10.3390/sym15030591.

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In practical applications, the basic fuzzy set is used via symmetric uncertainty variables. In the research field, it is comparatively rare to discuss two-fold uncertainty due to its complication. To deal with the multi-polar uncertainty in real life problems, m-polar (multi-polar) fuzzy (m-PF) sets are put forward. The main objective of this paper is to explore the idea of m-PF sets, which is a generalization of bipolar fuzzy (BPF) sets, in ternary semirings. The major aspects and novel distinctions of this work are that it builds any multi-person, multi-period, multi-criteria, and complex hi

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13

.., Zahraa A., and Fatimah M. Mohammed. "Weakly Generalized M-Closed and Strongly M-Generalized Closed Sets in Fuzzy Neutrosophic Topological Spaces." International Journal of Neutrosophic Science 21, no. 2 (2023): 08–19. http://dx.doi.org/10.54216/ijns.210201.

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The current study presents a new concept of sets and called fuzzy neutrosophic weakly generalized M-closed and fuzzy neutrosophic strongly M-generalized closed sets in fuzzy neutrosophic topological space. Actually, this study is an extended form of a research conducted by Z.A. Khalaf, F. M. Mohammed [1]. Moreover, it presents certain related relations of these notions as well as some theorems, propositions with some necessary examples.

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14

Chakraborty, M. K., and T. M. G. Ahsanullah. "Fuzzy topology on fuzzy sets and tolerance topology." Fuzzy Sets and Systems 45, no. 1 (1992): 103–8. http://dx.doi.org/10.1016/0165-0114(92)90096-m.

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15

Sanpan, Hataikhan, Pakorn Palakawong na Ayutthaya, and Somsak Lekkoksung. "On (m, n)-Fuzzy Sets and Their Application in Ordered Semigroups." International Journal of Analysis and Applications 23 (April 14, 2025): 90. https://doi.org/10.28924/2291-8639-23-2025-90.

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In this paper, we introduce the concepts of (m, n)-fuzzy subsemigroups, (m, n)-fuzzy left (right, two-sided, bi-, (1, 2)-) ideals of an ordered semigroup and some their algebraic properties are studied, thereafter the relationship among their (m, n)-fuzzy ideals was investigated. Moreover, we characterize left (resp., right, two-sided, bi-) ideals by using (m, n)-fuzzy left (resp., right, two-sided, bi-) ideals. Finally, we characterize regular ordered semigroups and intra-regular ordered semigroups in terms of (m, n)-fuzzy left ideals, (m, n)-fuzzy right ideals, and (m, n)-fuzzy bi-ideals.

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16

Al-shami, Tareq M., and Abdelwaheb Mhemdi. "Generalized Frame for Orthopair Fuzzy Sets: (m,n)-Fuzzy Sets and Their Applications to Multi-Criteria Decision-Making Methods." Information 14, no. 1 (2023): 56. http://dx.doi.org/10.3390/info14010056.

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Orthopairs (pairs of disjoint sets) have points in common with many approaches to managing vaguness/uncertainty such as fuzzy sets, rough sets, soft sets, etc. Indeed, they are successfully employed to address partial knowledge, consensus, and borderline cases. One of the generalized versions of orthopairs is intuitionistic fuzzy sets which is a well-known theory for researchers interested in fuzzy set theory. To extend the area of application of fuzzy set theory and address more empirical situations, the limitation that the grades of membership and non-membership must be calibrated with the s

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17

Hamadneh, Tareq, Hariwan Z. Ibrahim, Mayada Abualhomos, et al. "Novel Approach to Multi-Criteria Decision-Making Based on the n,mPR-Fuzzy Weighted Power Average Operator." Symmetry 15, no. 8 (2023): 1617. http://dx.doi.org/10.3390/sym15081617.

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A significant addition to fuzzy set theory for expressing uncertain data is an n,m-th power root fuzzy set. Compared to the nth power root, Fermatean, Pythagorean, and intuitionistic fuzzy sets, n,m-th power root fuzzy sets can cover more uncertain situations due to their greater range of displayed membership grades. When discussing the symmetry between two or more objects, the innovative concept of an n,m-th power root fuzzy set over dual universes is more flexible than the current notion of an intuitionistic fuzzy set, a Pythagorean fuzzy set, and a nth power root fuzzy set. In this study, w

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18

Adeel, Arooj, Muhammad Akram, and Ali N. A. Koam. "Multi-Criteria Decision-Making under mHF ELECTRE-I and HmF ELECTRE-I." Energies 12, no. 9 (2019): 1661. http://dx.doi.org/10.3390/en12091661.

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In a few years, hesitant fuzzy sets (HFSs) have had an impact on several different areas of decision science. However, a number of researches have utilized the Elimination and choice translating reality (ELECTRE) methods to determine the multi-criteria decision-making (MCDM) problems with hesitant information. The aim of this research article is to develop new multi-criteria group decision-making (MCGDM) methods, such as the m-polar hesitant fuzzy ELECTRE-I (mHF ELECTRE-I) method and hesitant m-polar fuzzy ELECTRE-I (HmF ELECTRE-I) method. Proposed MCGDM techniques based on the hybrid models,

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19

Khalaf, Zahraa A., and Fatimah M. Mohammed. "An Introduction to M-Open Sets in Fuzzy Neutrosophic Topological Spaces." International Journal of Neutrosophic Science 20, no. 4 (2023): 36–45. http://dx.doi.org/10.54216/ijns.200402.

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A new classes of sets called fuzzy neutrosophic M-open sets and fuzzy neutrosophic M-Closed sets in fuzzy neutrosophic topology are introduced some characterizations of these notions have been presented. After given the fundamental definitions of the new notions, we studided some theorems, propositions and some necessary relations with examples related to these notions had been discussed.

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20

S, Ramkumar, and Sridevi R. "On Improper m- Polar Soft Fuzzy Graph and its Application for Medical Diagnosis in the Current COVID-19 Scenario." Indian Journal of Science and Technology 16, no. 34 (2023): 2681–92. https://doi.org/10.17485/IJST/v16i34.1034.

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Abstract <strong>Objectives:</strong> To introduce the concepts of improper m􀀀 polar soft fuzzy graphs and related terms. <strong>Methods:</strong> An algorithm has been established to apply m􀀀 polar soft fuzzy graph to make a decision for medical diagnosis in the current COVID-19 scenario. It has been demonstrated with examples.<strong> Findings:</strong> The newly integrated ideas of the soft sets and m􀀀 polar fuzzy sets will lead to numerous prospective applications in the m􀀀 polar fuzzy set theoretical domain by adding extra fuzziness in analysing. m􀀀 polar soft se

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21

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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22

Dr., M. Mary Jansi Rani, and Bakkiyalakshmi B. "CONSTRUCTION ON INTUITIONISTIC CYCLIC M-FUZZY GROUPS." International Journal of Applied and Advanced Scientific Research 2, no. 2 (2017): 104–6. https://doi.org/10.5281/zenodo.848239.

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In this paper, the notion of cyclic group on a set is well-known. The study and extension of this classical notion of the M-fuzzy set to define concept of Intuitionistic Cyclic M-fuzzy group. By using this Intuitionistic Cyclic M-fuzzy group to investigate some results.

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23

Eidi, Jaafer Hmood, Ehsan Mejeed Hameed, and Jehad R. Kider. "Convex fuzzy distance between two convex fuzzy compact set." Journal of Interdisciplinary Mathematics 27, no. 4 (2024): 953–63. http://dx.doi.org/10.47974/jim-1916.

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The first step of this study is to recall the definition and basic theorems for convex fuzzy metric space (Z, M). Then, the definition of the convex fuzzy distance between two sets F and Y as well as the convex fuzzy distance from a point z to a set Y are introduced. Furthermore, the set of all nonempty convex fuzzy compact sets CFC(Z) are proved as a convex fuzzy complete when the convex fuzzy metric space (Z, M) is convex fuzzy complete.

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24

Rajput, Arpan Singh, Shailja Shukla, and Samajh Singh Thakur. "Cosine Similarity Measures of (m, n)-Rung Orthopair Fuzzy Sets and Their Applications in Plant Leaf Disease Classification." Symmetry 15, no. 7 (2023): 1385. http://dx.doi.org/10.3390/sym15071385.

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A fuzzy set is a powerful tool to handle uncertainty and ambiguity, and generally, the notions of symmetry and similarity are also exhibited in the fuzzy set theory. The class of (m, n)-rung orthopair fuzzy sets through two universes are more flexible and efficient than the q-rung orthopair fuzzy sets when discussing the symmetry and similarity between multiple objects. This research article comprehensively investigates ten similarity measures that employ cosine and cotangent functions for comparing (m, n)-rung orthopair fuzzy sets, which are a superclass of q-rung orthopair fuzzy sets. Moreov

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25

Çetkin, Vildan. "Bornological spaces in the context of fuzzy soft sets." Filomat 36, no. 4 (2022): 1341–50. http://dx.doi.org/10.2298/fil2204341c.

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The aim of this study is to present the concept of an (L,M)-fuzzy (E,K)-soft bornology as a parameterized extension of the LM-valued bornology. By this way, we describe the notions of boundedness and the parameterized degree of boundedness for L-fuzzy soft sets. We examine several fundamental properties of the proposed structures. In addition, we induce a (2,M)-fuzzy (E,K)-soft bornology in a given (2,M)-fuzzy (E,K)-soft topological space with the help of the measures of compactness of a soft set.

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26

Daraby, Bayaz, та S. B. Nimse. "On fuzzy generalized α-closed set and its applications". Filomat 21, № 2 (2007): 99–108. http://dx.doi.org/10.2298/fil0702099d.

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In this paper, we define and study fuzzy generalized ?-closed sets and r-open sets of a given L-fuzzy topological space and prime element r ? P(L) and coprime element a ? M(L). The concept of L-fuzzy r-open sets was introduced in [10], and it was proved that all r-open sets for L-fuzzy topological space form a new L-fuzzy topology, which is called stratiform L-fuzzy topology. Making use of the fuzzy generalized ?-closed sets, fuzzy generalized ?-continuous map is presented. .

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27

Vijayalakshmi, B., S. Bamini, M. Saraswathi, and A. Vadivel. "Fuzzy $M$-open sets in $hat{S}$ostak’s fuzzy topological spaces." Malaya Journal of Matematik S, no. 1 (2019): 234–42. http://dx.doi.org/10.26637/mjm0s01/0045.

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28

Vijayalakshmi, B., J. Praba, M. Saraswathi, and A. Vadivel. "Fuzzy $M^*$-open sets in $\hat{S}$ostak's fuzzy topological spaces." Malaya Journal of Matematik S, no. 1 (2019): 415–23. http://dx.doi.org/10.26637/mjm0s01/0074.

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29

Akram, Muhammad, Arooj Adeel, and José Carlos R. Alcantud. "Multi-Criteria Group Decision-Making Using an m-Polar Hesitant Fuzzy TOPSIS Approach." Symmetry 11, no. 6 (2019): 795. http://dx.doi.org/10.3390/sym11060795.

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The m-polar fuzzy sets (mF sets) have a representative and fundamental role in several fields of science and decision-making. The fusion of mF sets with several other theories of mathematics has become a favorable practice for depicting numerous types of uncertainties under multi-polar information. In this article, we introduce an innovative hybrid model, called m-polar hesitant fuzzy sets (mHF-sets), a hybridization of hesitancy and mF sets, which enables us to tackle multi-polar information with hesitancy. Hesitancy incorporates symmetry into the treatment of the data, whereas the m-polar fu

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30

Pal, Sankar K., and Ambarish Dasgupta. "Spectral fuzzy sets and soft thresholding." Information Sciences 65, no. 1-2 (1992): 65–97. http://dx.doi.org/10.1016/0020-0255(92)90078-m.

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31

Garg, Harish, Muhammad Riaz, Muhammad Abdullah Khokhar, and Maryam Saba. "Correlation Measures for Cubic m-Polar Fuzzy Sets with Applications." Mathematical Problems in Engineering 2021 (September 28, 2021): 1–19. http://dx.doi.org/10.1155/2021/9112586.

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A cubic m -polar fuzzy set (CmPFS) is a new hybrid extension of m -polar fuzzy set and cubic set. A CmPFS is a robust model to express multipolar information in terms of m fuzzy intervals representing membership grades and m fuzzy numbers representing nonmembership grades. In this article, we explore some new operational laws of CmPFSs, produce some related results, and discuss their consequences. We propose relative informational coefficients and relative noninformational coefficients for CmPFSs. These coefficients are analyzed to investigate further properties of CmPFSs. Based on these coeff

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32

Bhattacharya, Baby, Arnab Paul та Jayasree Chakraborty. "On fuzzy Λ γ -Sets and their Applications". Proyecciones (Antofagasta) 38, № 2 (2019): 237–53. https://doi.org/10.22199/issn.0717-6279-3569.

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The notion of Λ-fuzzy set was introduced by M. E. EI-Shafei and A. Zakari in 2006 ((20)). We examine some basic properties of it and prove some characterization theorems for the same. The paper presents a new class of fuzzy sets called fuzzy Λγ-sets that includes the class of all fuzzy γ-open sets. It also introduces the notion of fuzzy Vγ-sets as the dual concept of fuzzy Λγ sets to study the spaces constituted by those sets and obtain a completely different structure which is called fuzzy independent Alexandorff space. A stronger form of fuzzy Λb - continuity ((2)) called fuzzy Λγ-continuity

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33

Nakanishi, Shohachiro. "Some Properties of Level M Fuzzy Sets." IEEJ Transactions on Electronics, Information and Systems 109, no. 9 (1989): 684–91. http://dx.doi.org/10.1541/ieejeiss1987.109.9_684.

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34

Alshayea, Maryam Abdullah, and Kholood Mohammad Alsager. "Generalized Ideals of BCK/BCI-Algebras Based on MQHF Soft Set with Application in Decision Making." Journal of Mathematics 2023 (August 1, 2023): 1–9. http://dx.doi.org/10.1155/2023/8163134.

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The purpose of this study is to generalize the concept of Q -hesitant fuzzy sets and soft set theory to Q -hesitant fuzzy soft sets. The Q -hesitant fuzzy set is an admirable hybrid property, specially developed by the new generalized hybrid structure of hesitant fuzzy sets. Our goal is to provide a formal structure for the m -polar Q -hesitant fuzzy soft (MQHFS) set. First, by combining m-pole fuzzy sets, soft set models, and Q -hesitant fuzzy sets, we introduce the concept of MQHFS and apply it to deal with multiple theories in B C K / B C I -algebra. We then develop a framework including MQ

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35

Fatimah, Fatimah, та Fatimah M. Mohammed. "Several Results on Some Kinds of Continuity via Fuzzy Neutrosophic β^(^m)-Closed Sets". International Journal of Neutrosophic Science 26, № 2 (2025): 182–91. https://doi.org/10.54216/ijns.260213.

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In this paper, we defined some new kinds of continuous functions in fuzzy neutrosophic topology and called fuzzy neutrosophic - continuous, fuzzy neutrosophic weakly continuous, fuzzy neutrosophic strongly - continuous, fuzzy neutrosophic -contra continuous, fuzzy neutrosophic weakly -contra continuous and fuzzy neutrosophic strongly -contra continuous functions. Then, we defined the relationship between the define functions with their comparative.

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36

Riaz, Muhammad, Khadija Akmal, Yahya Almalki, and S. A. Alblowi. "Cubic m-polar fuzzy topology with multi-criteria group decision-making." AIMS Mathematics 7, no. 7 (2022): 13019–52. http://dx.doi.org/10.3934/math.2022721.

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<abstract><p>The concept of cubic m-polar fuzzy set (CmPFS) is a new approach to fuzzy modeling with multiple membership grades in terms of fuzzy intervals as well as multiple fuzzy numbers. We define some fundamental properties and operations of CmPFSs. We define the topological structure of CmPFSs and the idea of cubic m-polar fuzzy topology (CmPF topology) with P-order (R-order). We extend several concepts of crisp topology to CmPF topology, such as open sets, closed sets, subspaces and dense sets, as well as the interior, exterior, frontier, neighborhood, and basis of CmPF topo

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37

Fatimah, Fatimah, and Fatimah M. Mohammed. "Rare and Dense Sets in Fuzzy Neutrosophic Topological Spaces." International Journal of Neutrosophic Science 24, no. 2 (2024): 108–19. http://dx.doi.org/10.54216/ijns.240210.

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The purpose of the current paper is study some new concept of sets and called fuzzy neutrosophic rar and fuzzy neutrosophic dense sets in fuzzy neutrosophic opology and investigate some properties. In fact, the subject of fuzzy neutrosophic sets is already conducted by F. M. Mohammed et.al. [1-9]. However, the current study illustrates number of notable examples to shed the light on some novel attributes of recently established terms, as well as showing related interactions among these researches.

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38

Al-Masarwah, Anas, Abd Ghafur Ahmad, G. Muhiuddin, and D. Al-Kadi. "Generalized m-Polar Fuzzy Positive Implicative Ideals of BCK-Algebras." Journal of Mathematics 2021 (February 17, 2021): 1–10. http://dx.doi.org/10.1155/2021/6610009.

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This study focuses on combining the theories of m -polar fuzzy sets over BCK -algebras and establishing a new framework of m -polar fuzzy BCK -algebras. In this paper, we define the idea of m -polar fuzzy positive implicative ideals in BCK -algebras and investigate some related properties. Then, we introduce the concepts of m -polar ∈ , ∈ ∨ q -fuzzy positive implicative ideals and m -polar ∈ ¯ , ∈ ¯ ∨ q ¯ -fuzzy positive implicative ideals in BCK -algebras as a generalization of m -polar fuzzy positive implicative ideals. Several properties, examples, and characterization theorems of these con

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39

Sathiyaraj, J. "An $(iota,kappa)$-fuzzy $M$ closed and $(iota,kappa)$ - generalized fuzzy $M$ closed sets in double fuzzy topological spaces." Malaya Journal of Matematik S, no. 1 (2019): 284–89. http://dx.doi.org/10.26637/mjm0s01/0053.

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40

Khan, Muhammad, Poom Kumam, Shahzaib Ashraf, and Wiyada Kumam. "Generalized Picture Fuzzy Soft Sets and Their Application in Decision Support Systems." Symmetry 11, no. 3 (2019): 415. http://dx.doi.org/10.3390/sym11030415.

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In this paper, a generalized picture fuzzy soft set is proposed, which is an extension of the picture fuzzy soft sets. We investigate the basic properties of picture fuzzy soft sets and define an F-subset, M-subset, extended union, extended intersection, restricted union, restricted intersection and also prove the De Morgan’s laws for picture fuzzy soft information. We investigate upper and lower substitution for both picture fuzzy sets and generalized picture fuzzy soft sets. Meanwhile, the related proofs are given in detail. Finally, we propose an algorithm to deal with generalized picture f

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41

Albishry, Bayan, Sarah O. Alshehri, and Nasr Zeyada. "Doubt m-Polar Fuzzy Sets Based on BCK-Algebras." International Journal of Analysis and Applications 21 (June 16, 2023): 53. http://dx.doi.org/10.28924/2291-8639-21-2023-53.

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42

Sathiyaraj, J., A. Vadivel, and O. U. Maheshwari. "M GENERALIZED OPEN SETS IN DOUBLE FUZZY TOPOLOGICAL SPACES." Advances in Mathematics: Scientific Journal 9, no. 4 (2020): 2185–90. http://dx.doi.org/10.37418/amsj.9.4.79.

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43

Kuka, Shkelqim, Kostaq Hila, and Krisanthi Naka. "Application of L-fuzzy sets in m-ary semigroups." Journal of Intelligent & Fuzzy Systems 34, no. 6 (2018): 4031–40. http://dx.doi.org/10.3233/jifs-171365.

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Ping, Jingshui, Mohammed Atef, Ahmed Mostafa Khalil, Muhammad Riaz, and Nasruddin Hassan. "Soft Rough q-Rung Orthopair m-Polar Fuzzy Sets and q-Rung Orthopair m-Polar Fuzzy Soft Rough Sets and Their Applications." IEEE Access 9 (2021): 139186–200. http://dx.doi.org/10.1109/access.2021.3118055.

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Min, Won-Keun, and Young-Key Kim. "Fuzzy r-minimal Preopen Sets And Fuzzy r-M Precontinuous Mappings On Fuzzy Minimal Spaces." Journal of Korean Institute of Intelligent Systems 20, no. 4 (2010): 569–73. http://dx.doi.org/10.5391/jkiis.2010.20.4.569.

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Hsueh, Yuang-Cheh. "Extended lattice-ordered structures for L-fuzzy sets and L-fuzzy numbers." Fuzzy Sets and Systems 54, no. 1 (1993): 81–90. http://dx.doi.org/10.1016/0165-0114(93)90363-m.

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Fatimah, Fatimah, and Fatimah M. Mohammed. "Betam-Closed Sets in Fuzzy Neutrosophic Topological Spaces." International Journal of Neutrosophic Science 23, no. 4 (2024): 160–69. http://dx.doi.org/10.54216/ijns.230412.

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The current work offers a new concept of sets and called uzzy eutrosophic m-closed sets in fuzzy neutrosophic topology. In fact, the research is an extended form of a research conducted by F. M. Mohammed et.al. [1-7]. It explores a number of noteworthy examples to shed the light on the new characteristics and attributes of these recently formed conceptions, as well as some associated interactions between them.

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SANCHO-ROYO, A., and J. L. VERDEGAY. "COHERENCE MEASURES ON FINITE FUZZY SETS." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 08, no. 06 (2000): 641–63. http://dx.doi.org/10.1142/s0218488500000472.

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Comparison tools for fuzzy sets are an indispensable topic. Mostly of this tools deal with fuzzy sets from the view of similarity, order and so forth. A comparison tool based on coherence intuitive concept is presented. For constructing this concept, one start from three basics properties. A development of this tool is presented, equally coherence measures are connected with Fishburn-Yager's ambiguity measures. Two methods for constructing coherence measures are shown: one from ambiguity measures and other from metrics on [0, 1]m. Concretely, has been constructed various coherence measures fro

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Alsager, Kholood, Noura Alshehri, and Muhammad Akram. "A Decision-Making Approach Based on a Multi Q-Hesitant Fuzzy Soft Multi-Granulation Rough Model." Symmetry 10, no. 12 (2018): 711. http://dx.doi.org/10.3390/sym10120711.

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In this paper, we propose a new hybrid model, multi Q-hesitant fuzzy soft multi-granulation rough set model, by combining a multi Q-hesitant fuzzy soft set and multi-granulation rough set. We demonstrate some useful properties of these multi Q-hesitant fuzzy soft multi-granulation rough sets. Furthermore, we define multi Q-hesitant fuzzy soft ( M k Q H F S ) rough approximation operators in terms of M k Q H F S relations and M k Q H F S multi-granulation rough approximation operators in terms of M k Q H F S relations. We study the main properties of lower and upper M k Q H F S rough approximat

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Al-Tahan, Madeleine, Sarka Hoskova-Mayerova, and Saba Al-Kaseasbeh. "Generalization of Bi-antiideals in Semigroups." European Journal of Pure and Applied Mathematics 18, no. 1 (2025): 5646. https://doi.org/10.29020/nybg.ejpam.v18i1.5646.

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Algebraic structure consisting of a set together with an associative internal binary operation on it, so called semigroup has applications in different fields of science. For a better understanding of these applications, semigroups are characterized through their subsets. Fuzzy sets deal with uncertainties, and because many real-life problems have an associated algebraic structure, fuzzification of these structures makes sense and is useful. In this paper, our aim is to characterize a semigroup through a generalized concept of its bi-antiideals and to fuzzify this concept. In particular, by us

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