Generalized state operators on residuated lattices
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DOI: 10.1007/s00500-016-2324-6
Abstract: We give a definition of a generalized state operator (g-state operator) $$\sigma $$σ on a residuated lattice X and a g-state residuated lattice $$(X,\sigma )$$(X,σ), by which the class of all g-state residuated lattices is… read more here.
Keywords: state; generalized state; residuated lattices; residuated lattice ... See more keywords
Rough approximations in non-commutative residuated lattices
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DOI: 10.1007/s13370-017-0529-1
Abstract: Based on Pawlak’s rough set theory, we study and investigate the roughness in non-commutative residuated lattices, which are generalizations of non-commutative fuzzy structures such as MV-algebras and BL-algebras. We give many theorems and examples to… read more here.
Keywords: commutative residuated; rough approximations; residuated lattices; approximations non ... See more keywords
Derivations of Commutative Residuated Lattices
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DOI: 10.1007/s41980-018-0007-z
Abstract: In this short note, we consider some properties of derivations of commutative residuated lattices and show that for any residuated lattice X,(i)if d is a monotone derivation and $$d1\in B(X)$$d1∈B(X) then it is characterized by… read more here.
Keywords: derivation; derivations commutative; residuated lattices; commutative residuated ... See more keywords