<!--
{
  "availability" : [
    "iOS: 9.0.0 -",
    "iPadOS: 9.0.0 -",
    "macCatalyst: 13.1.0 -",
    "macOS: 10.11.0 -",
    "tvOS: 9.0.0 -",
    "visionOS: 1.0.0 -"
  ],
  "documentType" : "symbol",
  "framework" : "GameplayKit",
  "identifier" : "/documentation/GameplayKit/GKRuleSystem/minimumGrade(forFacts:)",
  "metadataVersion" : "0.1.0",
  "role" : "Instance Method",
  "symbol" : {
    "kind" : "Instance Method",
    "modules" : [
      "GameplayKit"
    ],
    "preciseIdentifier" : "c:objc(cs)GKRuleSystem(im)minimumGradeForFacts:"
  },
  "title" : "minimumGrade(forFacts:)"
}
-->

# minimumGrade(forFacts:)

Returns the lowest membership grade among the specified facts.

```
func minimumGrade(forFacts facts: [Any]) -> Float
```

## Parameters

`facts`

An array of objects representing truths claimed or rejected by the rule system. For details, see the [`facts`](/documentation/GameplayKit/GKRuleSystem/facts) property.

## Return Value

The lowest membership grade in the array of facts.

## Discussion

In fuzzy logic, this method is called the AND Zadeh operator, because it corresponds to the AND operator in Boolean logic.

> Note:
> If a fact is not in the ``doc://com.apple.gameplaykit/documentation/GameplayKit/GKRuleSystem/facts`` array, its membership grade for purposes of this operation is implicitly zero.

## See Also

[`facts`](/documentation/GameplayKit/GKRuleSystem/facts)

The list of facts claimed by the rule system.



---

Copyright &copy; 2026 Apple Inc. All rights reserved. | [Terms of Use](https://www.apple.com/legal/internet-services/terms/site.html) | [Privacy Policy](https://www.apple.com/privacy/privacy-policy)