2006
DOI: 10.1016/j.aml.2005.11.001
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Resolution of finite fuzzy relation equations based on strong pseudo-t-norms

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Cited by 30 publications
(25 citation statements)
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“…Consequently, the t-norm can be replaced by a weak t-norm, t-seminorm or strong pseudo-t-norm. See Fodor (1991), De Cooman andKerre (1994), Han and Li (2005), Wang and Xiong (2005) and Han et al (2006) for details. More general composite operators were also investigated in CuninghameGreen (1979CuninghameGreen ( , 1995, Kawaguchi and Miyakoshi (1998), Cheng and Peng (1988), Noskoá (2005), and Wu (2007).…”
Section: Discussionmentioning
confidence: 98%
See 1 more Smart Citation
“…Consequently, the t-norm can be replaced by a weak t-norm, t-seminorm or strong pseudo-t-norm. See Fodor (1991), De Cooman andKerre (1994), Han and Li (2005), Wang and Xiong (2005) and Han et al (2006) for details. More general composite operators were also investigated in CuninghameGreen (1979CuninghameGreen ( , 1995, Kawaguchi and Miyakoshi (1998), Cheng and Peng (1988), Noskoá (2005), and Wu (2007).…”
Section: Discussionmentioning
confidence: 98%
“…associativity and commutativity, are not necessary in defining fuzzy relational equations and hence some general composite operators can be used without losing any particular property of interest. As a consequent, some generalizations have been made by Cheng and Peng (1988), Di , Kawaguchi and Miyakoshi (1998), Han and Li (2005), Li et al (2005), Wang and Xiong (2005) and Han et al (2006).…”
Section: Introductionmentioning
confidence: 95%
“…Also, the notations ∧ and ∨ denote the minimum and maximum operations, respectively. We present the definition of pseudo-t-norm as the extension of t-norms similar to the defined pseudo-t-norm in Han et al (2006) as follows.…”
Section: Preliminary Definitions and Pointsmentioning
confidence: 99%
“…Some results of these cases were generalized for sup-T compositions with additional assumptions on a triangular norm T (Fernández and Gil 2004;Han et al 2006;Shieh 2007;Stamou and Tzafestas 2001;Wang and Xiong 2005).…”
Section: Introductionmentioning
confidence: 98%