Turunen, E.Rodríguez González, Juan TinguaroBeziau, Jean-YvesChakraborty, MihirDutta, Soma2023-06-192023-06-192015Turunen, E., Rodríguez, J.T.: Two Consistent Many-Valued Logics for Paraconsistent Phenomena. En: Beziau, J.-Y., Chakraborty, M., y Dutta, S. (eds.) New Directions in Paraconsistent Logic. pp. 185-210. Springer India, New Delhi (2015)978813222719910.1007/978-81-322-2719-9_8https://hdl.handle.net/20.500.14352/358475th WCP, Kolkata, India, February 2014.In this reviewing paper, we recall the main results of our papers [24, 31] where we introduced two paraconsistent semantics for Pavelka style fuzzy logic. Each logic formula a is associated with a 2 x 2 matrix called evidence matrix. The two semantics are consistent if they are seen from 'outside'; the structure of the set of the evidence matrices M is an MV-algebra and there is nothing paraconsistent there. However, seen from "inside,' that is, in the construction of a single evidence matrix paraconsistency comes in, truth and falsehood are not each others complements and there is also contradiction and lack of information (unknown) involved. Moreover, we discuss the possible applications of the two logics in real-world phenomena.book parthttps//doi.org/10.1007/978-81-322-2719-9_8http://link.springer.com/chapter/10.1007%2F978-81-322-2719-9_8metadata only access510.6Mathematical fuzzy logicParaconsistent logicMV-algebraLógica simbólica y matemática (Matemáticas)1102.14 Lógica Simbólica