Soft Computing

, Volume 21, Issue 19, pp 5631–5639 | Cite as

The decomposition of linearly ordered pseudo-hoops

  • Rodica Ceterchi


We generalize to the non-commutative case a construction of the Hájek decomposition using an equivalence relation on linear pseudo-hoops. Other two equivalence relations are used to obtain the Agliano–Montagna and the Cignoli–Esteva–Godo–Torrens decompositions. The comparability of the three decompositions follows from this construction.


Non-commutative fuzzy logic Pseudo-hoops Ordinal sum decomposition 



The author’s participation to LATD 2012 was possible due to a travel grant and to local support from the organizers.

Compliance with ethical standards

Conflict of interest

The author declares that, apart from the above, she has no conflict of interest.

Ethical approval

This article does not contain any studies with human participants or animals performed by any of the authors.


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© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Faculty of Mathematics and CSUniversity of BucharestBucharestRomania

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