The notion of a transitive closure of a fuzzy relation is very useful for clustering in pattern recognition, for fuzzy databases, etc. It is based on translating the standard definition of transitivity and transitive closure into fuzzy terms. This definition works fine, but to some extent it does not fully capture our understanding of transitivity. The reason is that this definition is based on...

A method for representing and manipulating imprecise and vague information in engineering design is described. Designers and customers preferences are captured with Fuzzy sets. Formal methods for including noise, trade-o strategies and design iteration are included. Introduction Imprecision and vagueness are intrinsic aspects of engineering design. If (at the start of a design process) a propos...

AbSlracl: Algorilhms for providing a quanlitati\e measure of edge ambIguity are described through fuzzy measures in a set. An IOdex is derined whose value IS maximum fOJ a grey lone image and decreases as the fnzzmess In detecting edges decreases. The inherent fuzzifying properly of the S-funclion is found to enable one nOI 10 use the tNT operator for contrasl enhancement and 10 save the time o...

mobile robots can make use of fuzzy processing and computing with words in order to extend their capabilities by allowing them to be less literal and exact match oriented. Both sensor data interpretation and planned activities subtleties benefit from fuzzy inexact processing.[1] The sciences of astronomy and physics have long used conceptual metaphor productively, in such terms as " event horiz...

Problem statement: The precision and reliability of the effort estimation is very important for the competitiveness of software companies. The uncertainty at the input level of the Constructive Cost Model (COCOMO) yields uncertainty at the output, which leads to gross estimation error in the effort estimation. Fuzzy logic-based cost estimation models are more appropriate when vague and imprecis...

Introduction and motivation To explain the motivation of our work we give a short glimpse into the history of Fuzzy Topology called more recently Lattice-Valued Topology or Many Valued Topology. In 1968, C. L. Chang [1] introduced the notion of a fuzzy topology on a set X as a subset τ ⊆ [0, 1] satisfying the natural counterparts of the axioms of topology: (1) 0X , 1X ∈ τ ; (2) U, V ∈ τ ⇒ U ∧ V...

This article presents ongoing research on the initial development of a decision support system (DSS) framework for integrated emergency vehicle preemption and transit priority system investment planning. A conceptual intelligent DSS framework provides a holistic framework to perform analytical assessments of integrated emergency vehicle preemption and transit priority systems. Three analytical ...

The concept of fuzzy flip-flop was introduced in the middle of 1980’s by Hirota (with his students). The Hirota Lab recognized the essential importance of the concept of a fuzzy extension of a sequential circuit and the notion of fuzzy memory. From this point of view they proposed alternatives for “fuzzifying” digital flip-flops. The starting elementary digital units were the binary J-K flipflo...

We revisit the notion of fuzzy revealed preference, with the intention of using it in decision making. A decision making agent manages resources that are priced, and it has a certain wealth. We review proposed fuzzifications of preference relations. Although they are well founded, they cannot deal well with decision making under fuzzy constraints. We introduce the fuzzy budget set as a general ...

introduction drastic model is an index and overlapping model that has been designed for producing vulnerability scores for different points by combining several thematic layers. overlapping distinguished methods are themost applicable methods for evaluatingvulnerability of aquifers because they are cheap, they can directly reach a defined goal, the used data in the methods are accessible or can...