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Soft set theoretic approach to hyperstructtures [PDF]

Journal of Hyperstructures, 2016
In this paper, we have achieved hyperoperations us- ing soft set theory. We have showed that any given set H is a hyperstructure with And and Or operations in soft set theory.
Mustafa Burç Kandemir
doaj   +1 more source

Roadmap on Label‐Free Super‐Resolution Imaging

Laser &Photonics Reviews, Volume 17, Issue 12, December 2023., 2023
This Roadmap presents a comprehensive vision of developments in the field of nanoscale imaging of non‐fluorescent objects with a focus on methods allowing to overcome the classical diffraction limit. The scope of this Roadmap spans from diffraction‐limited interference detection techniques to super‐resolution methods based on information science ...
Vasily N. Astratov, Yair Ben Sahel, Yonina C. Eldar, Luzhe Huang, Aydogan Ozcan, Nikolay Zheludev, Junxiang Zhao, Zachary Burns, Zhaowei Liu, Evgenii Narimanov, Neha Goswami, Gabriel Popescu, Emanuel Pfitzner, Philipp Kukura, Yi‐Teng Hsiao, Chia‐Lung Hsieh, Brian Abbey, Alberto Diaspro, Aymeric LeGratiet, Paolo Bianchini, Natan T. Shaked, Bertrand Simon, Nicolas Verrier, Matthieu Debailleul, Olivier Haeberlé, Sheng Wang, Mengkun Liu, Yeran Bai, Ji‐Xin Cheng, Behjat S. Kariman, Katsumasa Fujita, Moshe Sinvani, Zeev Zalevsky, Xiangping Li, Guan‐Jie Huang, Shi‐Wei Chu, Omer Tzang, Dror Hershkovitz, Ori Cheshnovsky, Mikko J. Huttunen, Stefan G. Stanciu, Vera N. Smolyaninova, Igor I. Smolyaninov, Ulf Leonhardt, Sahar Sahebdivan, Zengbo Wang, Boris Luk'yanchuk, Limin Wu, Alexey V. Maslov, Boya Jin, Constantin R. Simovski, Stephane Perrin, Paul Montgomery, Sylvain Lecler   +53 more
wiley   +1 more source

Applications on Bipolar Vague Soft Sets

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
The purpose of this research is to interpolate bipolarity into the definition of the vague soft set. This gives a new more applicable, flexible, and generalized extension of the soft set, the fuzzy soft set, or even the vague soft set, which is the bipolar vague soft set.
Hanan H. Sakr, Abdisalam Hassan Muse, Mohamed S. Mohamed, Saieed F. Ateya, Jun Ye   +4 more
wiley   +1 more source

Map‐Pointed Fuzzy Hyperoperations

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
In this paper, we establish a correspondence between fuzzy hypergroupoids and certain types of hypergroupoids that possess map‐pointed properties. Specifically, we introduce a new type of fuzzy hyperoperations, known as map‐pointed fuzzy hyperoperations, and show that this correspondence yields an adjunction.
Mohammad Esmaeil Sharbati, Hamid Rasouli, Abolghasem Karimi Feizabadi, Abolfazl Tehranian, Francisco J. Garcia Pacheco   +4 more
wiley   +1 more source

A Novel Study on Ordered Anti‐Involution LA‐Semihypergroups

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
In this study, we introduce a new concept called “anti‐involution” in relation to ordered LA‐semihypergroups. An anti‐involution is basically an involuntary automorphism, which is just a fancy term for a mathematical function that can be reversed. We looked at several fundamental results before introducing anti‐involution hyperideals.
Nabilah Abughazalah, Naveed Yaqoob, Tareq Al-shami   +2 more
wiley   +1 more source

ϕ ‐δ‐Primary Hyperideals in Krasner Hyperrings

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
In this paper, we study commutative Krasner hyperrings with nonzero identity. ϕ‐prime, ϕ‐primary and ϕ‐δ‐primary hyperideals are introduced. The concept of δ‐primary hyperideals is extended to ϕ‐δ‐primary hyperideals. Some characterizations of hyperideals are provided to classify them.
Hao Guan, Elif Kaya, Melis Bolat, Serkan Onar, Bayram Ali Ersoy, Kostaq Hila, Hasan Dinçer   +6 more
wiley   +1 more source

Multicriteria Decision‐Making Problem via Weighted Cosine Similarity Measure and Several Characterizations of Hypergroup and (Weak) Polygroups under the Triplet Single‐Valued Neutrosophic Structure

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
Polygroups are an extended form of groups and a subclass of hypergroups that follow group‐type axioms. In this paper, we define a triplet single‐valued neutrosophic set, which is a generalization of fuzzy sets, intuitionistic fuzzy sets, and neutrosophic sets, and we combine this novel concept with hypergroups and polygroups.
M. Shazib Hameed, Zaheer Ahmad, Shahbaz Ali, Augustine Larweh Mahu, Walid F. A Mosa, Dragan Z. Marinkovic   +5 more
wiley   +1 more source

Some Properties of Weak Γ‐Hyperfilters in OrderedΓ‐Semihypergroups

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
The main purpose of this paper is to study fundamental properties of weak Γ‐hyperfilters on ordered Γ‐semihypergroups that is a generalization of Γ‐hyperfilters. Also, we investigate the relationship between weak Γ‐hyperfilters and prime Γ‐hyperideals in ordered Γ‐semihypergroups.
Yongsheng Rao, Xiang Chen, Saeed Kosari, Mohammadsadegh Monemrad, Márcio J. Lacerda   +4 more
wiley   +1 more source

A New Approach to Study h‐Hemiregular Hemirings in terms of Bipolar Fuzzy h‐Ideals

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
This paper provides a generalized form of ideals, that is, h‐ideals of hemirings with the combination of a bipolar fuzzy set (BFS). The BFS is an extension of the fuzzy set (FS), which deals with complex and vague problems in both positive and negative aspects.
Shahida Bashir, Ahmad N. Al-Kenani, Rabia Mazhar, Zunaira Pervaiz, Mingwei Lin   +4 more
wiley   +1 more source

Some Developments in the Field of Homological Algebra by Defining New Class of Modules over Nonassociative Rings

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
The LA‐module is a nonassociative structure that extends modules over a nonassociative ring known as left almost rings (LA‐rings). Because of peculiar characteristics of LA‐ring and its inception into noncommutative and nonassociative theory, drew the attention of many researchers over the last decade.
Asima Razzaque, Inayatur Rehman, Gohar Ali   +2 more
wiley   +1 more source