‎in this paper, a new class of fuzzy sets called fuzzy strongly ${{g}^{*}}$-closed sets is introduced and its properties are investigated. moreover, we study some more properties of this type of closed spaces.

We study the complexity of a class of partitioning problems which arise in storage organization and scheduling. All our problems are variants of the 2-Dimensional Consecutive Sets problem. The 2-Dimensional Consecutive Sets problem is to find for a given set L of strings over an alphabet Z a partition of Z into a sequence of sets such that the characters of each string S in L occur in exactly I...

We derive new bounds on the total squared correlation (TSC) of quaternary (quadriphase) signature/sequence sets for all lengths L and set sizes K. Then, for all K,L, we design minimum-TSC optimal sets that meet the new bounds with equality. Direct numerical comparison with the TSC value of the recently obtained optimal binary sets shows under what K,L realizations gains are materialized by movi...

Article history: Received 25 October 2011 Received in revised form 16 March 2012 Accepted 23 June 2012 Available online 2 July 2012

This paper deals with the uniqueness of L-fuzzy sets in the representation of a given family of subsets of a nonempty set. It first shows a formula of the number of L-fuzzy sets whose collection of cuts coincides with a given family of subsets of a nonempty set, and then provides a necessary and sufficient condition under which such L-fuzzy set is unique. MSC: 03E72; 06D05