Results 11 to 20 of about 70 (67)
Open Mathematics, 2019 The main goal of this paper is to introduce the notion of stabilizers in EQ-algebras and develop stabilizer theory in EQ-algebras. In the paper, we introduce (fuzzy) left and right stabilizers and investigate some related properties of them.
Cheng Xiao Yun +3 more
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Some New Directions in Soft (Fuzzy) Hypermodules
Fuzzy Information and Engineering, 2022 We introduce and study some new directions on soft hypermodules and soft fuzzy hypermodules. In this regard, we apply soft set theory to hypermodules to introduce the classes of soft hypermodules and soft fuzzy hypermodules and obtain their basic ...
M. Norouzi, R. Ameri
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Open Mathematics, 2020 In this paper, by using the ideal theory in residuated lattices, we construct the prime and maximal spectra (Zariski topology), proving that the prime and maximal spectra are compact topological spaces, and in the case of De Morgan residuated lattices ...
Holdon Liviu-Constantin
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Discussiones Mathematicae - General Algebra and Applications, 2020 In this paper we investigate some isomorphism theorems in EQ-algebras. After establishing some basic results we give the Fundamental Homomorphism Theorem and by using it we state and prove some other isomorphism theorems.
Bakhshi M., Khavari M.R., Nazifi M.
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Convergency of the fuzzy vectors in the pseudo‐fuzzy vector space over Fp1(1)
International 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
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Extension of n‐dimensional Euclidean vector space En over ℝ to pseudo‐fuzzy vector space over Fp1(1)
International 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
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Fuzzy structures of PI(≪,⫅,⫅)BCK‐ideals in hyper BCK‐algebras
International 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
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Weak-hyperlattices derived from fuzzy congruences
Discussiones Mathematicae - General Algebra and Applications, 2017 In this paper we explore the connections between fuzzy congruence relations, fuzzy ideals and homomorphisms of hyperlattices. Indeed, we introduce the concept of fuzzy quotient set of hyperlattices as it was done in the case of rings [19].
Koguep Blériot Blaise Njionou +1 more
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Intuitionistic fuzzy interior ideal of semigroup based on intuitionistic fuzzy point [PDF]
Matrix Science Mathematic, 2017 The intuitionistic fuzzification of the notion of an interior ideal in ordered semigroups is considered. The purpose of this study is to introduce the notion of (∈, ∈ vq)-intuitionistic fuzzy interior ideals and (∈, ∈)-intuitionistic fuzzy nterior ideals
Hidayat Ullah Khan +4 more
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L-fuzzy ideals and L-fuzzy subalgebras of Novikov algebras
Open Mathematics, 2019 In this paper, we apply the concept of fuzzy sets to Novikov algebras, and introduce the concepts of L-fuzzy ideals and L-fuzzy subalgebras. We get a sufficient and neccessary condition such that an L-fuzzy subspace is an L-fuzzy ideal. Moreover, we show
Zhou Xin, Chen Liangyun, Chang Yuan
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