Modern axiomatic uncertainty theories (fuzzy logic, probability theory and others) provide a calculus for manipulating with probabilities, membership functions, and degrees of belief when the initial values such as probabilities of elementary events are already given. These theories do not include a mechanism for getting initial uncertainty values. The value of these theories is in computing un...

the aim of this paper is to introduce $(l,m)$-fuzzy closurestructure where $l$ and $m$ are strictly two-sided, commutativequantales. firstly, we define $(l,m)$-fuzzy closure spaces and getsome relations between $(l,m)$-double fuzzy topological spaces and$(l,m)$-fuzzy closure spaces. then, we introduce initial$(l,m)$-fuzzy closure structures and we prove that the category$(l,m)$-{bf fc} of $(l,m...

The paper considers the application of soft computing techniques for predictive modelling in the built sector. TakagiSugeno fuzzy models are built by subtractive clustering to provide initial values of the antecedent non-linear membership functions parameters and the consequent linear algebraic equations coefficients. A method of extensive searching the possible fuzzy model structures is presen...

in this paper, a new approach for solving the second order fuzzy differential equations (fde) with fuzzy initial value, under strongly generalized h-differentiability is presented. solving first order fuzzy differential equations by extending 1-cut solution of the original problem and solving fuzzy integro-differential equations has been investigated by some authors (see for example cite{darabi...

The theory of fuzzy functions and its application has increased recently due to the industrial interest of fuzzy control. Moreover, in view of the development of the calculus for fuzzy functions, the investigation of fuzzy differential equations has been initiated and the existence and uniqueness of solutions of fuzzy initial value problem was considered under a Lipschitz condition (Kaleva, 198...

In recent years, in various sectors of our society, there have been nationalist stirrings which were crystallized and articulated by the late Claro M. Recto, There were jealous demands for the recognition of Philippine sovereignty on the Bases question. There were appeals for the correction of the iniquitous economic relations between the Philippines and the United States. For a time, Filipino ...

We extend some results obtained in 1998 and 1999 by studying the periodicity of the solutions of the fuzzy difference equations xn+1 = max{A/xn,A/xn−1, . . . ,A/xn−k}, xn+1 = max{A0/xn,A1/xn−1}, where k is a positive integer, A, Ai, i= 0,1, are positive fuzzy numbers, and the initial values xi, i=−k,−k + 1, . . . ,0 (resp., i=−1,0) of the first (resp., second) equation are positive fuzzy numbers.

2 While performing the tasks of organizational control there always happen such situations when the initial conditions of decision making are not clearly defined and characterized by insufficient information for the human-operator who makes decisions, particularly in conflict situations or under extreme conditions. For mathematical formalization of processes and systems of this class there appe...

Linguistic modeling of complex irregular systems is helpful for the generation of decision making controls. In the various existing Fuzzy models, proposed by Mamdani, Sugeno, and Tsukamoto, the concepts of the set of membership functions and different Fuzzy logic rules to reason about data were addressed. The time control issues were not discussed in these models. In this paper, a new model is ...