Multi‐adjoint Relation Equations: A Decision Support System for Fuzzy Logic. Issue 8 (7th March 2017)

• Record Type: Journal Article
• Authors: Cornejo, M. Eugenia; Díaz‐Moreno, J. Carlos; Medina, Jesús
• Is Part Of: International journal of intelligent systems. Volume 32:Issue 8(2017)
• Page Start: 778
• Page End: 800
• Publication Date: 2017-03-07
• Subjects: Fuzzy relation equations -- Galois connection -- decision support; Artificial intelligence -- Periodicals; Expert systems (Computer science) -- Periodicals; Intelligence artificielle -- Périodiques; Systèmes experts (Informatique) -- Périodiques; 006.3
• DOI: 10.1002/int.21889
• Languages: English
• ISSNs: 0884-8173

Abstract

Abstract : Fuzzy relation equations (FRE) are an important decision support system (DSS), for example, in fuzzy logic. FRE have recently been extended to a more general framework, called multiadjoint relation equations (MARE). This paper shows MARE as a fundamental DSS in multi‐adjoint logic programming. For that purpose, multi‐adjoint logic programs will be interpreted as a MARE, and the solvability of them will be given in terms of concept lattice theory. Furthermore, two approximations (optimistic and pessimistic approximations) of unsolvable equations will be obtained from a multiadjoint object‐oriented concept lattice. Finally, a real‐life example will be studied.