This study proposes a mathematical and morphological erosion calculation through defuzzification of the fuzzy set measure corresponding to the fuzzy integral by reducing detecting areas required for matching through areal labeling and filtering and applying the template matching uses edges to the detecting areas. It defines a λ-fuzzy set measure in application and all subsets of defuzzification...

Subsethood A ⊆ B and set equality A = B are among the basic notions of set theory. For traditional (“crisp”) sets, every element a either belongs to a set A or it does not belong to A, and for every two sets A and B, either A ⊆ B or A 6⊆ B. To describe commonsense and expert reasoning, it is advantageous to use fuzzy sets in which for each element a, there is a degree μA(a) ∈ [0, 1] to which a ...

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...

Introduction: Indomethacin increases generation of mitochondrial reactive oxygen species (ROS) which have a crucial role in the indomethacin-induced gastric ulcer. Coenzyme Q10 has an antioxidant activity on mitochondria and cell membranes and protects lipids from oxidation and is essential for stabilizing biological membranes. Superoxide dismutase (SOD) acts as one of the defense mechanisms ag...

In this paper, persents the definitions of strongly prime ideal, strongly prime N-subgroup, Pseudo-valuation near ring and Pseudo-valuation N-group. Some of their properties have also been proven by theorems. Then it is shown that, if N be near ring with quotient near-field K and P be a strongly prime ideal of near ring N, then is a strongly prime ideal of ‎‎, for any multiplication subset S of...

in this paper, we will give necessary and sufficient conditions for certain hnnextensions of subgroup separable groups with normal associated subgroup to be conjugacyseparable. in fact, we will show that these hnn extensions are conjugacy separable if and onlyif the normalizer of one of its associated subgroup is conjugacy separable.

let $g$ be a finite group with the identity $e$‎. ‎the subgroup intersection graph $gamma_{si}(g)$ of $g$ is the graph with vertex set $v(gamma_{si}(g)) = g-e$ and two distinct vertices $x$ and $y$ are adjacent in $gamma_{si}(g)$ if and only if $|leftlangle xrightrangle capleftlangle yrightrangle|>1$‎, ‎where $leftlangle xrightrangle $ is the cyclic subgroup of $g$ generated by $xin g$‎. ‎in th...

A main purpose of a multi-objective evolutionary algorithm is to find a good relationship between convergence and diversity of the population. Convergence guides the algorithm to search the optimal solution and diversity tries to avoid a premature stagnation of the search. In multi-objective evolutionary algorithms, diversity has been promoted using different techniques. In this paper, several ...

The members of the Inula candida / I. verbascifolia group are perennial and chasmophytic plants attributed to four species eleven entities at subspecific or varietal level. They mostly confined Greece. Volatile compounds above-ground flowering parts twenty-three populations covering ten taxonomic were obtained after hydrodistillation analyzed by gas chromatography mass spectrometry (GC-MS). In ...