Results 1 to 10 of about 42 (42)

On a conjecture of Gowers and Long

open access: yesBulletin of the London Mathematical Society, Volume 52, Issue 6, Page 1148-1157, December 2020., 2020
Abstract We show that rounding to a δ‐net in SO(3) is not close to a group operation, thus confirming a conjecture of Gowers and Long.
Ben Green
wiley   +1 more source

Convergency of the fuzzy vectors in the pseudo‐fuzzy vector space over Fp1(1)

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 26, Page 1363-1377, 2004., 2004
In 2003, we considered the pseudo‐fuzzy vector space SFR over Fp1(1). Here, we further discuss the convergency of the fuzzy vectors in SFR.
Kweimei Wu
wiley   +1 more source

Extension of n‐dimensional Euclidean vector space En over ℝ to pseudo‐fuzzy vector space over Fp1(1)

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 37, Page 2349-2373, 2003., 2003
For any two points P = (p(1), p(2), …, p(n)) and Q = (q(1), q(2), …, q(n)) of ℝn, we define the crisp vector PQ⟶=(q(1)−p(1),q(2)−p(2),…,q(n)−p(n))=Q(−)P. Then we obtain an n‐dimensional vector space En={PQ⟶| for all P,Q∈ℝn}. Further, we extend the crisp vector into the fuzzy vector on fuzzy sets of ℝn.
Kweimei Wu
wiley   +1 more source

Fuzzy structures of PI(≪,⫅,⫅)BCK‐ideals in hyper BCK‐algebras

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 9, Page 549-556, 2003., 2003
The fuzzification of PI(≪,⫅,⫅)BCK‐ideals is considered. Using the notion of α‐cut, characterization of fuzzy PI(≪, ⫅, ⫅) BCK‐ideals is given. Conditions for a fuzzy set to be a fuzzy PI(≪, ⫅, ⫅) BCK‐ideal are provided.
Young Bae Jun, Wook Hwan Shim
wiley   +1 more source

Studying the Theory of Hoops Through Some Type of Filters

open access: yesJournal of Applied Mathematics, Volume 2025, Issue 1, 2025.
It is known that the class of hoops is ideally determined, in the sense that every filter of any hoop H is a 1‐class of a unique congruence relation on H. This confirms that every filter in a hoop determines one and only one quotient structure. So, given a hoop H and a filter π of H, it is natural to question ourselves what should be the defining ...
Gezahagne Mulat Addis   +2 more
wiley   +1 more source

Classification of H‐Circuits Having Different Length and Reduced Length of M‐Circuits on Quadratic Irrational Numbers

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
The construction of circuits formed by reduced quadratic irrational numbers (RQINs) under the action of Mobius groups has attracted growing attention due to their deep algebraic structure and wide range of applications. Such orbits and circuits play a significant role in modern cryptographic systems, particularly in the design of robust substitution ...
Muhammad Haris Mateen   +5 more
wiley   +1 more source

Fuzzy rank functions in the set of all binary systems. [PDF]

open access: yesSpringerplus, 2016
Kim HS, Neggers J, So KS.
europepmc   +1 more source

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