activity
20182025
most citedThe hull-kernel topology on residuated lattices

2 citations · 3 across the 7 of their papers we have counts for

collaborators

9 papers

cs.IT2025

Expected Confidence Dependency: A Novel Rough Set-Based Approach to Feature Selection

Saeed Rasouli, Hamid Karamikabir

This paper proposes Expected Confidence Dependency (ECD), a novel, soft computing-oriented, accuracy driven dependency measure for feature selection within the rough set theory fra…

math.LO2025

Sheaf of Residuated Lattices

Saeed Rasouli

This paper explores the interface between algebra, topology, and logic by developing the theory of sheaves and etale spaces for residuated lattices, algebraic structures central to…

math.RA2024

Etale spaces of residuated lattices

Saeed Rasouli, Seyed Naser Hosseini, Amin Dehghani

This paper explores the concept of étalé spaces associated with residuated lattices. Notions of bundles and étalés of residuated lattices over a given topological space are introdu…

cs.IT2022

The pure spectrum of a residuated lattice

Saeed Rasouli, Amin Dehghani

This paper studies a fascinating type of filter in residuated lattices, the so-called pure filters. A combination of algebraic and topological methods on the pure filters of a resi…

math.RA2022

Mp-residuated lattices

Saeed Rasouli, Amin Dehghani

This paper is devoted to the study of a fascinating class of residuated lattices, the so-called mp-residuated lattice, in which any prime filter contains a unique minimal prime fil…

math.LO2022★ 1 cited

Gelfand residuated lattices

Saeed Rasouli, Amin Dehghani

In this paper, a combination of algebraic and topological methods is applied to obtain new and structural results on Gelfand residuated lattices. It is demonstrated that Gelfand's…

math.RA2019

Quasicomplemented residuated lattices

Saeed Rasouli

In this paper, the class of quasicomplemented residuated lattices is introduced and investigated, as a subclass of residuated lattices in which any prime filter not containing any…

math.RA2018

-normal residuated lattices

Saeed Rasouli, Michiro Kondo

The notion of -normal residuated lattice, as a class of residuated lattices in which every prime filter contains at most minimal prime filters, is introduced and studied. Be…

math.GN2018★ 2 cited

The hull-kernel topology on residuated lattices

Saeed Rasouli, Amin Dehghani

The notion of hull-kernel topology on a collection of prime filters in a residuated lattice is introduced and investigated. It is observed that any collection of prime filters is a…