Matrix factorization problems over various semirings naturally arise in different contexts of modern pure and applied mathematics. These problems are very hard in general and cause computational difficulties in applications. We give a survey of what is known on the algorithmic complexity of Boolean, fuzzy, tropical, nonnegative, and positive semidefinite factorizations, and we examine the behav...

‎The notion of (Boolean) uni-soft filters‎ ‎in MTL-algebras is introduced‎, ‎and several properties of them are‎ ‎investigated‎. ‎Characterizations of (Boolean) uni-soft filters are discussed‎, ‎and some (necessary and sufficient) conditions‎ ‎for a uni-soft filter to be Boolean are provided‎. ‎The condensational property for a Boolean uni-soft filter is established.

Multiple sequence alignment is the most fundamental and essential task of computational biology, and forms the base for other tasks of bioinformatics. In this paper, two different approaches to sequence alignment have been discussed and compared. The first method employs Boolean algebra which is a two-valued logic whereas the second is based on Fuzzy logic which is a multi-valued logic. Both th...

The logical foundations of processes handling uncertainty in information use some classes of algebras as algebraic semantics. Bounded residuated lattice ordered monoids (Rl-monoids) are common generalizations of BL-algebras, i.e., algebras of the propositional basic fuzzy logic, and Heyting algebras, i.e., algebras of the propositional intuitionistic logic. From the point of view of uncertain i...

Transitivity of generalized fuzzy matrices over a special type of semiring is considered. The semiring is called incline algebra which generalizes Boolean algebra, fuzzy algebra, and distributive lattice. This paper studies the transitive incline matrices in detail. The transitive closure of an incline matrix is studied, and the convergence for powers of transitive incline matrices is considere...

Finding software for reuse is a problem that programmers face. To reuse code that has been proven to work can increase any programmer’s productivity, benefit corporate productivity, and also increase the stability of software programs. This paper shows that fuzzy retrieval has an improved retrieval performance over typical Boolean retrieval. Various methods of fuzzy information retrieval implem...

Time series prediction is a problem with a wide range of applications, including energy systems planning, currency forecasting, stock exchange operations or traffic prediction. Accordingly, a number of different prediction approaches have been proposed such as linear models, Feedforward Neural network models, Recurrent Neural networks or Fuzzy Neural Models. In this paper one presents a predict...

Optimal Positioning of Middle Schools within the City of Dehdasht through a Combination of Boolean Logic and FAHP M.A. Firoozi, Ph.D. P. Rahmaani N. Hosseini Shahpariyaan M. Fereydoonnejaad Optimal positioning of schools is of much interest to planners because the rapid increase in population and structural changes within the cities could lead to distribution problems if not fo...

Abstract A 2-dimension linguistic lattice implication algebra (2DL-LIA) can build a bridge between logical and fuzzy information. In this paper, the notion of Boolean element is proposed in 2DL-LIA some properties elements are discussed. Then derivations on 2DL-LIAs introduced related investigated. Moreover, it proves that be constructed by elements.

Present analytical functions and conventional cartographic modeling techniques in Geographic Information Systems (GIS) are based on Boolean logic, which implicitly assumes that objects in a spadal database and their attributes can be uniquely defined. The inherent constraint of the classical set theory does not allow for partial set membership conditions and imprecise information in GIS. The in...