Let G be a fuzzy graph. A family of fuzzy sets on a set V is called k-fuzzy coloring of if i) ii) iii) for every strong edge (that is ., ) of G, . The minimum number of k for which there exists a k-fuzzy coloring is called fuzzy chromatic number of G and is denoted by . Then is the partition of independent sets of vertices of G in which each sets has the same color is called the fuzzy chromatic partition. A fuzzy dominator coloring of a fuzzy graph G is a proper fuzzy coloring of G in which every vertex of G dominates every vertex of at least one color class. The minimum number of colors required for a fuzzy dominator coloring of G is called the fuzzy dominator chromatic number (FDCN) and is denoted by . In this chapter , we introduce a new class of color partition and their related concepts. Also, we extensively studied the concept of chromatic polynomial for irregular fuzzy coloring and fuzzy neighborhood distinguished coloring.
Palabras Clave: aprendizaje significativo, metrologÃa, pie de rey, sistema de unidades The aim of this study is to promote the application of active methodologies for teaching and learning the use of the Vernier Calibrator or Slide Gauge with the metric system (0.05 and 0.02 mm) and the English system (1/128 and 0.001). Inches) of units by means of the expansion of the scales of graduation, both of the main scale and that of the Vernier, using a sheet (card) in A4 format, ruler, grader and pencils. An introduction was made on Metrology, measurement systems and units of measurement, as well as the measurement instrument, also a proposal was made to obtain the assessment or resolution of the measurement instrument. In order to achieve the validity of this study, and to obtain a meaningful and lasting learning, active learning methodologies were used such as: cooperative work, problem-based learning and project-based learning, methodologies that allow the student to participate actively and be motivated in his training process as a future engineer through his/her proper planning of playful activities in classes, guided by the teacher, with meaningful materials and conceptually easy to understand. To finalize the study, an application project was developed, which consists of the development of a Vernier wood calibrator with their respective graduations.