✦ LIBER ✦

On Z-valuations using Zadeh's Z-numbers

✍ Scribed by Ronald R. Yager

Publisher: John Wiley and Sons
Year: 2012
Tongue: English
Weight: 166 KB
Volume: 27
Category: Article
ISSN: 0884-8173
DOI: 10.1002/int.21521

No coin nor oath required. For personal study only.

✦ Synopsis

We first recall the concept of Z-numbers introduced by Zadeh. These objects consist of an ordered pair (A, B) of fuzzy numbers. We then use these Z-numbers to provide information about an uncertain variable V in the form of a Z-valuation, which expresses the knowledge that the probability that V is A is equal to B. We show that these Z-valuations essentially induce a possibility distribution over probability distributions associated with V . We provide a simple illustration of a Z-valuation. We show how we can use this representation to make decisions and answer questions. We show how to manipulate and combine multiple Z-valuations. We show the relationship between Z-numbers and linguistic summaries. Finally, we provide for a representation of Z-valuations in terms of Dempster-Shafer belief structures, which makes use of type-2 fuzzy sets.

📜 SIMILAR VOLUMES

On ranking fuzzy numbers using valuation

On ranking fuzzy numbers using valuations

✍ Ronald R. Yager; Dimitar Filev 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 153 KB

The importance as well as the difficulty of the problem of ranking fuzzy numbers is pointed out. Here we consider approaches to the ranking of fuzzy numbers based upon the idea of associating with a fuzzy number a scalar value, its valuation, and using this valuation to compare and order fuzzy numbe

On the semantics of unified modeling lan

On the semantics of unified modeling language diagrams using Z notation

✍ Ekawit Nantajeewarawat; Ratanachai Sombatsrisomboon 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 142 KB

As a step toward the precise semantics of Unified Modeling Language (UML), this article uses the Z notation to develop formal specifications for two important parts of UML, i.e., class diagrams and sequence diagrams, and to formulate an appropriate interpretation structure for discussing the model t

Measurement of L shell fluorescence yiel

Measurement of L shell fluorescence yields of seven elements in the atomic number range 79⩽Z⩽92 using photoionization

✍ Önder Şimşek; Oǧuz Doǧan; Ümit Turgut; Mehmet Ertuǧrul; Hasan Erdoǧan 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 102 KB 👁 1 views

L shell Ñuorescence yields were measured for Au, Hg, Tl, Pb, Bi, Th and U using a Ge(Li) detector. The targets were excited using 59.5 keV c-rays from a 241Am radioactive source of strength 400 MBq. The results obtained were compared with the theoretical values and other measured values. This compar

This body's not big enough for both of us: a novel: an A+Z Kimrean adventure

✍ Edgar Cantero 📂 Fiction 📅 2019 🏛 Titan Books 🌐 en-US ⚖ 171 KB 👁 2 views

**From the New York Times bestselling author of Meddling Kids comes a mind-blowing, gender-bending, genre-smashing romp through the entire pantheon of action and noir.** An office door bears the names of A. Kimrean and Z. Kimrean, Private Eyes. Behind the door there is just one desk, one chair and

ChemInform Abstract: Stereoselective Syn

ChemInform Abstract: Stereoselective Synthesis of Cyclic Ethers Using Vinylogous Sulfonates as Radical Acceptors: Effect of E/Z Geometry and Temperature on Diastereoselectivity.

✍ P. Andrew Evans; Thara Manangan 📂 Article 📅 2010 🏛 John Wiley and Sons ⚖ 37 KB 👁 2 views

ChemInform Abstract: Simple and New Prot

ChemInform Abstract: Simple and New Protocol for the Synthesis of Novel (Z)-3-Arylidenebenzothiazepin-4-ones Using Baylis—Hillman Derivatives.

✍ Manickam Bakthadoss; Gandhi Murugan 📂 Article 📅 2009 🏛 John Wiley and Sons ⚖ 25 KB 👁 1 views