Some kinds of \((\in, \in \vee q)\)-interval-valued fuzzy ideals of BCI-algebras

DOI10.1016/j.ins.2008.06.006zbMath1153.06013OpenAlexW2051792310MaRDI QIDQ942336

Xueling Ma, Jianming Zhan, Jun, Young Bae, Bijan Davvaz

Publication date: 5 September 2008

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ins.2008.06.006

zbMATH Keywords

BCI-algebraquasi-coincidencefuzzy pointinterval-valued fuzzy setcommutative BCI-algebrapositive implicative BCI-algebra

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) BCK-algebras, BCI-algebras (06F35)

Related Items (21)

Generalized Fibonacci sequences in groupoids ⋮ Fuzzy set theoretic approach to generalized ideals in BCK/BCI-algebras ⋮ New types of fuzzy ideals in BCK/BCI-algebras ⋮ Unnamed Item ⋮ A novel study based on fuzzy p-ideals of BCI-algebras ⋮ Interval valued L-fuzzy ideals based on t-norms and t-conorms ⋮ Applications of soft sets in BE-algebras. ⋮ On some properties of p-ideals based on intuitionistic fuzzy sets ⋮ GENERAL TYPES OF(∈,∈∨q_k)-FUZZY SUBSEMIGROUPS IN SEMIGROUPS ⋮ Applications of rough soft sets in BCI-algebras and decision making ⋮ Interval valued L-fuzzy prime ideals, triangular norms and partially ordered groups ⋮ Characterizations of regular ordered semigroups in terms of \((\alpha , \beta )\)-fuzzy generalized bi-ideals ⋮ Some kinds of \((\epsilon_\gamma,\epsilon_\gamma\vee \!q_\delta)\)-fuzzy ideals of BCI-algebras ⋮ Generalizations of \((\in,\in\vee q)\)-fuzzy subalgebras in BCK/BCI-algebras ⋮ On the definition of the intuitionistic fuzzy subgroups. ⋮ Fuzzy hyperrings (\(H_v\)-rings) based on fuzzy universal sets. ⋮ A novel \(Z\)-soft rough fuzzy BCI-algebras (ideals) of BCI-algebras ⋮ Different types of cubic ideals in BCI-algebras based on fuzzy points ⋮ Soft ideals of BCK/BCI-algebras based on fuzzy set theory ⋮ \(m\)-polar \((\alpha, \beta)\)-fuzzy ideals in BCK/BCI-algebras ⋮ (∈, ∈ ∨ q)-intuitionistic fuzzy BCI-subalgebras of a BCI-algebra

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On fuzzy ideals in BCK/BCI-algebras
• \((\in,\in\!\vee q)\)-fuzzy subnear-rings and ideals.
• Fuzzy \(H\)-ideals in BCK-algebras
• Pseudo-BCK algebras and PD-posets
• Redefined fuzzy implicative filters
• Redefined fuzzy \(H_v\)-submodules and many valued implications.
• Fuzzy \(h\)-ideals of hemirings.
• Applications of soft sets in ideal theory of BCK/BCI-algebras
• Fuzzy topology. I: Neighborhood structure of a fuzzy point and Moore-Smith convergence
• The concept of a linguistic variable and its application to approximate reasoning. I
• Metamathematics of fuzzy logic
• Monoidal t-norm based logic: Towards a logic for left-continuous t-norms
• \((\in,\in\vee\;q)\)-fuzzy subgroup
• \(T\)-fuzzy multiply positive implicative BCC-ideals of BCC-algebras
• \((\in,\in \vee q)\)-fuzzy normal, quasinormal and maximal subgroups
• Fuzzy multiply positive implicative hyper BCK-ideals of hyper BCK-algebras
• Rosenfeld's fuzzy subgroups with interval-valued membership functions
• Arithmetic operators in interval-valued fuzzy set theory
• Intuitionistic nil radicals of intuitionistic fuzzy ideals and Euclidean intuitionistic fuzzy ideals in rings.
• BCI-implicative ideals of BCI-algebras
• A new view of fuzzy hypernear-rings.
• Fuzzy strong implicative hyper BCK-ideals of hyper BCK-algebras
• Relationship between similarity measure and entropy of interval valued fuzzy sets
• Toward a generalized theory of uncertainty (GTU) -- an outline
• On \(f\)-derivations of BCI-algebras
• Algebraic Analysis of Many Valued Logics
• ON (α, β)-FUZZY SUBALGEBRAS OF BCK/ BCI-ALGEBRAS
• ON GROUP-LIKE BCI-ALGEBRAS
• FSI-IDEALS AND FSC-IDEALS OF BCI-ALGEBRAS
• Fuzzy sets
• On axiom systems of propositional calculi, XIV
• An algebra related with a propositional calculus
• Fuzzy ideals in BCI-algebras

This page was built for publication: Some kinds of \((\in, \in \vee q)\)-interval-valued fuzzy ideals of BCI-algebras